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Finding the Fourth Proportional to 512,332, 707,009.40 and 282,883.57

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Solution

The fourth proportional to 512,332, 707,009.40 and 282,883.57 is: 390,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,332 : 707,009.40 = 282,883.57 : x
  2. Step 2: Convert to fraction form
    512,332/707,009.40 = 282,883.57/x
  3. Step 3: Cross multiply
    512,332x = 707,009.40 × 282,883.57
  4. Step 4: Simplify right side
    512,332x = 200,001,343,095.56
  5. Step 5: Solve for x
    x = 200,001,343,095.56/512,332
  6. Step 6: Final answer
    x = 390,374.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.