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Finding the Fourth Proportional to 471,748, 707,622 and 139,349.92

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Solution

The fourth proportional to 471,748, 707,622 and 139,349.92 is: 209,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,748 : 707,622 = 139,349.92 : x
  2. Step 2: Convert to fraction form
    471,748/707,622 = 139,349.92/x
  3. Step 3: Cross multiply
    471,748x = 707,622 × 139,349.92
  4. Step 4: Simplify right side
    471,748x = 98,607,069,090.24
  5. Step 5: Solve for x
    x = 98,607,069,090.24/471,748
  6. Step 6: Final answer
    x = 209,024.88

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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.