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Finding the Fourth Proportional to 432,547.34, 648,883.05 and 133,053.17

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Solution

The fourth proportional to 432,547.34, 648,883.05 and 133,053.17 is: 199,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,547.34 : 648,883.05 = 133,053.17 : x
  2. Step 2: Convert to fraction form
    432,547.34/648,883.05 = 133,053.17/x
  3. Step 3: Cross multiply
    432,547.34x = 648,883.05 × 133,053.17
  4. Step 4: Simplify right side
    432,547.34x = 86,335,946,761.77
  5. Step 5: Solve for x
    x = 86,335,946,761.77/432,547.34
  6. Step 6: Final answer
    x = 199,598.84

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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.