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Finding the Fourth Proportional to 473,083.20, 709,624.80 and 465,307.20

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Solution

The fourth proportional to 473,083.20, 709,624.80 and 465,307.20 is: 697,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,083.20 : 709,624.80 = 465,307.20 : x
  2. Step 2: Convert to fraction form
    473,083.20/709,624.80 = 465,307.20/x
  3. Step 3: Cross multiply
    473,083.20x = 709,624.80 × 465,307.20
  4. Step 4: Simplify right side
    473,083.20x = 330,193,528,738.56
  5. Step 5: Solve for x
    x = 330,193,528,738.56/473,083.20
  6. Step 6: Final answer
    x = 697,960.80

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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.