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Finding the Fourth Proportional to 474,088.68, 711,133.71 and 193,605.93

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Solution

The fourth proportional to 474,088.68, 711,133.71 and 193,605.93 is: 290,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,088.68 : 711,133.71 = 193,605.93 : x
  2. Step 2: Convert to fraction form
    474,088.68/711,133.71 = 193,605.93/x
  3. Step 3: Cross multiply
    474,088.68x = 711,133.71 × 193,605.93
  4. Step 4: Simplify right side
    474,088.68x = 137,679,703,278.90
  5. Step 5: Solve for x
    x = 137,679,703,278.90/474,088.68
  6. Step 6: Final answer
    x = 290,409.18

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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.