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Finding the Fourth Proportional to 410,159.80, 614,577.30 and 232,137.40

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Solution

The fourth proportional to 410,159.80, 614,577.30 and 232,137.40 is: 347,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,159.80 : 614,577.30 = 232,137.40 : x
  2. Step 2: Convert to fraction form
    410,159.80/614,577.30 = 232,137.40/x
  3. Step 3: Cross multiply
    410,159.80x = 614,577.30 × 232,137.40
  4. Step 4: Simplify right side
    410,159.80x = 142,666,376,521.02
  5. Step 5: Solve for x
    x = 142,666,376,521.02/410,159.80
  6. Step 6: Final answer
    x = 347,831.20

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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.