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Finding the Fourth Proportional to 524,673.60, 787,010.40 and 465,624.60

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Solution

The fourth proportional to 524,673.60, 787,010.40 and 465,624.60 is: 698,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,673.60 : 787,010.40 = 465,624.60 : x
  2. Step 2: Convert to fraction form
    524,673.60/787,010.40 = 465,624.60/x
  3. Step 3: Cross multiply
    524,673.60x = 787,010.40 × 465,624.60
  4. Step 4: Simplify right side
    524,673.60x = 366,451,402,695.84
  5. Step 5: Solve for x
    x = 366,451,402,695.84/524,673.60
  6. Step 6: Final answer
    x = 698,436.90

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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.