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Finding the Fourth Proportional to 577,925.40, 797,188.32 and 381,693.08

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Solution

The fourth proportional to 577,925.40, 797,188.32 and 381,693.08 is: 526,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,925.40 : 797,188.32 = 381,693.08 : x
  2. Step 2: Convert to fraction form
    577,925.40/797,188.32 = 381,693.08/x
  3. Step 3: Cross multiply
    577,925.40x = 797,188.32 × 381,693.08
  4. Step 4: Simplify right side
    577,925.40x = 304,281,265,200.83
  5. Step 5: Solve for x
    x = 304,281,265,200.83/577,925.40
  6. Step 6: Final answer
    x = 526,506.13

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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.