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Finding the Fourth Proportional to 286,322.30, 429,374.10 and 86,576.30

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Solution

The fourth proportional to 286,322.30, 429,374.10 and 86,576.30 is: 129,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,322.30 : 429,374.10 = 86,576.30 : x
  2. Step 2: Convert to fraction form
    286,322.30/429,374.10 = 86,576.30/x
  3. Step 3: Cross multiply
    286,322.30x = 429,374.10 × 86,576.30
  4. Step 4: Simplify right side
    286,322.30x = 37,173,620,893.83
  5. Step 5: Solve for x
    x = 37,173,620,893.83/286,322.30
  6. Step 6: Final answer
    x = 129,831.39

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1.5x scale

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.