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Finding the Fourth Proportional to 409,398.39, 564,970.95 and 237,349.80

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Solution

The fourth proportional to 409,398.39, 564,970.95 and 237,349.80 is: 327,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,398.39 : 564,970.95 = 237,349.80 : x
  2. Step 2: Convert to fraction form
    409,398.39/564,970.95 = 237,349.80/x
  3. Step 3: Cross multiply
    409,398.39x = 564,970.95 × 237,349.80
  4. Step 4: Simplify right side
    409,398.39x = 134,095,741,988.31
  5. Step 5: Solve for x
    x = 134,095,741,988.31/409,398.39
  6. Step 6: Final answer
    x = 327,543.40

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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.