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Finding the Fourth Proportional to 495,339.74, 742,769.26 and 242,323.88

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Solution

The fourth proportional to 495,339.74, 742,769.26 and 242,323.88 is: 363,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,339.74 : 742,769.26 = 242,323.88 : x
  2. Step 2: Convert to fraction form
    495,339.74/742,769.26 = 242,323.88/x
  3. Step 3: Cross multiply
    495,339.74x = 742,769.26 × 242,323.88
  4. Step 4: Simplify right side
    495,339.74x = 179,990,729,027.93
  5. Step 5: Solve for x
    x = 179,990,729,027.93/495,339.74
  6. Step 6: Final answer
    x = 363,368.24

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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.