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Finding the Fourth Proportional to 652,898.64, 977,312.72 and 502,748.88

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Solution

The fourth proportional to 652,898.64, 977,312.72 and 502,748.88 is: 752,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,898.64 : 977,312.72 = 502,748.88 : x
  2. Step 2: Convert to fraction form
    652,898.64/977,312.72 = 502,748.88/x
  3. Step 3: Cross multiply
    652,898.64x = 977,312.72 × 502,748.88
  4. Step 4: Simplify right side
    652,898.64x = 491,342,875,389.75
  5. Step 5: Solve for x
    x = 491,342,875,389.75/652,898.64
  6. Step 6: Final answer
    x = 752,556.13

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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.