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Finding the Fourth Proportional to 413,702.07, 570,905.46 and 232,410.18

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Solution

The fourth proportional to 413,702.07, 570,905.46 and 232,410.18 is: 320,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,702.07 : 570,905.46 = 232,410.18 : x
  2. Step 2: Convert to fraction form
    413,702.07/570,905.46 = 232,410.18/x
  3. Step 3: Cross multiply
    413,702.07x = 570,905.46 × 232,410.18
  4. Step 4: Simplify right side
    413,702.07x = 132,684,239,559.53
  5. Step 5: Solve for x
    x = 132,684,239,559.53/413,702.07
  6. Step 6: Final answer
    x = 320,724.14

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1.5x scale

Why These Related Problems?

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