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Finding the Fourth Proportional to 432,308.48, 596,480.64 and 253,425.92

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Solution

The fourth proportional to 432,308.48, 596,480.64 and 253,425.92 is: 349,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,308.48 : 596,480.64 = 253,425.92 : x
  2. Step 2: Convert to fraction form
    432,308.48/596,480.64 = 253,425.92/x
  3. Step 3: Cross multiply
    432,308.48x = 596,480.64 × 253,425.92
  4. Step 4: Simplify right side
    432,308.48x = 151,163,654,954.19
  5. Step 5: Solve for x
    x = 151,163,654,954.19/432,308.48
  6. Step 6: Final answer
    x = 349,666.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.