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Finding the Fourth Proportional to 530,617.40, 730,857.23 and 407,875

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Solution

The fourth proportional to 530,617.40, 730,857.23 and 407,875 is: 561,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,617.40 : 730,857.23 = 407,875 : x
  2. Step 2: Convert to fraction form
    530,617.40/730,857.23 = 407,875/x
  3. Step 3: Cross multiply
    530,617.40x = 730,857.23 × 407,875
  4. Step 4: Simplify right side
    530,617.40x = 298,098,392,686.25
  5. Step 5: Solve for x
    x = 298,098,392,686.25/530,617.40
  6. Step 6: Final answer
    x = 561,795.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.