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Finding the Fourth Proportional to 410,724.80, 615,424.80 and 232,702.40

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Solution

The fourth proportional to 410,724.80, 615,424.80 and 232,702.40 is: 348,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,724.80 : 615,424.80 = 232,702.40 : x
  2. Step 2: Convert to fraction form
    410,724.80/615,424.80 = 232,702.40/x
  3. Step 3: Cross multiply
    410,724.80x = 615,424.80 × 232,702.40
  4. Step 4: Simplify right side
    410,724.80x = 143,210,827,979.52
  5. Step 5: Solve for x
    x = 143,210,827,979.52/410,724.80
  6. Step 6: Final answer
    x = 348,678.31

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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.