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Finding the Fourth Proportional to 653,702.40, 977,929.20 and 565,930.80

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Solution

The fourth proportional to 653,702.40, 977,929.20 and 565,930.80 is: 846,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,702.40 : 977,929.20 = 565,930.80 : x
  2. Step 2: Convert to fraction form
    653,702.40/977,929.20 = 565,930.80/x
  3. Step 3: Cross multiply
    653,702.40x = 977,929.20 × 565,930.80
  4. Step 4: Simplify right side
    653,702.40x = 553,440,254,499.36
  5. Step 5: Solve for x
    x = 553,440,254,499.36/653,702.40
  6. Step 6: Final answer
    x = 846,624.17

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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.