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Finding the Fourth Proportional to 473,670.80, 710,506.20 and 412,845.20

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Solution

The fourth proportional to 473,670.80, 710,506.20 and 412,845.20 is: 619,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,670.80 : 710,506.20 = 412,845.20 : x
  2. Step 2: Convert to fraction form
    473,670.80/710,506.20 = 412,845.20/x
  3. Step 3: Cross multiply
    473,670.80x = 710,506.20 × 412,845.20
  4. Step 4: Simplify right side
    473,670.80x = 293,329,074,240.24
  5. Step 5: Solve for x
    x = 293,329,074,240.24/473,670.80
  6. Step 6: Final answer
    x = 619,267.80

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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.