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Finding the Fourth Proportional to 584,088.80, 875,096.40 and 362,213.60

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Solution

The fourth proportional to 584,088.80, 875,096.40 and 362,213.60 is: 542,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,088.80 : 875,096.40 = 362,213.60 : x
  2. Step 2: Convert to fraction form
    584,088.80/875,096.40 = 362,213.60/x
  3. Step 3: Cross multiply
    584,088.80x = 875,096.40 × 362,213.60
  4. Step 4: Simplify right side
    584,088.80x = 316,971,817,391.04
  5. Step 5: Solve for x
    x = 316,971,817,391.04/584,088.80
  6. Step 6: Final answer
    x = 542,677.44

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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.