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Finding the Fourth Proportional to 390,502.18, 585,084.60 and 213,133.64

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Solution

The fourth proportional to 390,502.18, 585,084.60 and 213,133.64 is: 319,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,502.18 : 585,084.60 = 213,133.64 : x
  2. Step 2: Convert to fraction form
    390,502.18/585,084.60 = 213,133.64/x
  3. Step 3: Cross multiply
    390,502.18x = 585,084.60 × 213,133.64
  4. Step 4: Simplify right side
    390,502.18x = 124,701,210,505.94
  5. Step 5: Solve for x
    x = 124,701,210,505.94/390,502.18
  6. Step 6: Final answer
    x = 319,335.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.