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Finding the Fourth Proportional to 650,762.16, 897,948.36 and 364,294.32

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Solution

The fourth proportional to 650,762.16, 897,948.36 and 364,294.32 is: 502,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,762.16 : 897,948.36 = 364,294.32 : x
  2. Step 2: Convert to fraction form
    650,762.16/897,948.36 = 364,294.32/x
  3. Step 3: Cross multiply
    650,762.16x = 897,948.36 × 364,294.32
  4. Step 4: Simplify right side
    650,762.16x = 327,117,487,201.32
  5. Step 5: Solve for x
    x = 327,117,487,201.32/650,762.16
  6. Step 6: Final answer
    x = 502,668.27

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Why These Related Problems?

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