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Finding the Fourth Proportional to 589,259.60, 812,830.92 and 416,983.76

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Solution

The fourth proportional to 589,259.60, 812,830.92 and 416,983.76 is: 575,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,259.60 : 812,830.92 = 416,983.76 : x
  2. Step 2: Convert to fraction form
    589,259.60/812,830.92 = 416,983.76/x
  3. Step 3: Cross multiply
    589,259.60x = 812,830.92 × 416,983.76
  4. Step 4: Simplify right side
    589,259.60x = 338,937,293,265.86
  5. Step 5: Solve for x
    x = 338,937,293,265.86/589,259.60
  6. Step 6: Final answer
    x = 575,191.81

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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.