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Finding the Fourth Proportional to 286,573.52, 430,192.38 and 153,713.28

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Solution

The fourth proportional to 286,573.52, 430,192.38 and 153,713.28 is: 230,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,573.52 : 430,192.38 = 153,713.28 : x
  2. Step 2: Convert to fraction form
    286,573.52/430,192.38 = 153,713.28/x
  3. Step 3: Cross multiply
    286,573.52x = 430,192.38 × 153,713.28
  4. Step 4: Simplify right side
    286,573.52x = 66,126,281,760.81
  5. Step 5: Solve for x
    x = 66,126,281,760.81/286,573.52
  6. Step 6: Final answer
    x = 230,748.05

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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.