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Finding the Fourth Proportional to 375,713.60, 564,088.80 and 296,916.80

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Solution

The fourth proportional to 375,713.60, 564,088.80 and 296,916.80 is: 445,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,713.60 : 564,088.80 = 296,916.80 : x
  2. Step 2: Convert to fraction form
    375,713.60/564,088.80 = 296,916.80/x
  3. Step 3: Cross multiply
    375,713.60x = 564,088.80 × 296,916.80
  4. Step 4: Simplify right side
    375,713.60x = 167,487,441,411.84
  5. Step 5: Solve for x
    x = 167,487,441,411.84/375,713.60
  6. Step 6: Final answer
    x = 445,784.88

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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.