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Finding the Fourth Proportional to 680,874.60, 1,019,562.30 and 502,415.40

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Solution

The fourth proportional to 680,874.60, 1,019,562.30 and 502,415.40 is: 752,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,874.60 : 1,019,562.30 = 502,415.40 : x
  2. Step 2: Convert to fraction form
    680,874.60/1,019,562.30 = 502,415.40/x
  3. Step 3: Cross multiply
    680,874.60x = 1,019,562.30 × 502,415.40
  4. Step 4: Simplify right side
    680,874.60x = 512,243,800,779.42
  5. Step 5: Solve for x
    x = 512,243,800,779.42/680,874.60
  6. Step 6: Final answer
    x = 752,332.08

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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.