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Finding the Fourth Proportional to 286,312.30, 429,359.10 and 86,566.30

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Solution

The fourth proportional to 286,312.30, 429,359.10 and 86,566.30 is: 129,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,312.30 : 429,359.10 = 86,566.30 : x
  2. Step 2: Convert to fraction form
    286,312.30/429,359.10 = 86,566.30/x
  3. Step 3: Cross multiply
    286,312.30x = 429,359.10 × 86,566.30
  4. Step 4: Simplify right side
    286,312.30x = 37,168,028,658.33
  5. Step 5: Solve for x
    x = 37,168,028,658.33/286,312.30
  6. Step 6: Final answer
    x = 129,816.39

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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.