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Finding the Fourth Proportional to 477,044.84, 715,657.98 and 161,417

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Solution

The fourth proportional to 477,044.84, 715,657.98 and 161,417 is: 242,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,044.84 : 715,657.98 = 161,417 : x
  2. Step 2: Convert to fraction form
    477,044.84/715,657.98 = 161,417/x
  3. Step 3: Cross multiply
    477,044.84x = 715,657.98 × 161,417
  4. Step 4: Simplify right side
    477,044.84x = 115,519,364,157.66
  5. Step 5: Solve for x
    x = 115,519,364,157.66/477,044.84
  6. Step 6: Final answer
    x = 242,156.20

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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.