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Finding the Fourth Proportional to 473,004.20, 709,506.30 and 465,228.20

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Solution

The fourth proportional to 473,004.20, 709,506.30 and 465,228.20 is: 697,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,004.20 : 709,506.30 = 465,228.20 : x
  2. Step 2: Convert to fraction form
    473,004.20/709,506.30 = 465,228.20/x
  3. Step 3: Cross multiply
    473,004.20x = 709,506.30 × 465,228.20
  4. Step 4: Simplify right side
    473,004.20x = 330,082,338,837.66
  5. Step 5: Solve for x
    x = 330,082,338,837.66/473,004.20
  6. Step 6: Final answer
    x = 697,842.30

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.