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Finding the Fourth Proportional to 652,457.90, 978,686.85 and 584,029.10

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Solution

The fourth proportional to 652,457.90, 978,686.85 and 584,029.10 is: 876,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,457.90 : 978,686.85 = 584,029.10 : x
  2. Step 2: Convert to fraction form
    652,457.90/978,686.85 = 584,029.10/x
  3. Step 3: Cross multiply
    652,457.90x = 978,686.85 × 584,029.10
  4. Step 4: Simplify right side
    652,457.90x = 571,581,600,187.34
  5. Step 5: Solve for x
    x = 571,581,600,187.34/652,457.90
  6. Step 6: Final answer
    x = 876,043.65

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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.