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Finding the Fourth Proportional to 286,473.32, 429,754.56 and 86,746.16

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Solution

The fourth proportional to 286,473.32, 429,754.56 and 86,746.16 is: 130,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,473.32 : 429,754.56 = 86,746.16 : x
  2. Step 2: Convert to fraction form
    286,473.32/429,754.56 = 86,746.16/x
  3. Step 3: Cross multiply
    286,473.32x = 429,754.56 × 86,746.16
  4. Step 4: Simplify right side
    286,473.32x = 37,279,557,822.49
  5. Step 5: Solve for x
    x = 37,279,557,822.49/286,473.32
  6. Step 6: Final answer
    x = 130,132.74

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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.