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Finding the Fourth Proportional to 475,543.68, 713,416.23 and 176,026.74

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Solution

The fourth proportional to 475,543.68, 713,416.23 and 176,026.74 is: 264,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,543.68 : 713,416.23 = 176,026.74 : x
  2. Step 2: Convert to fraction form
    475,543.68/713,416.23 = 176,026.74/x
  3. Step 3: Cross multiply
    475,543.68x = 713,416.23 × 176,026.74
  4. Step 4: Simplify right side
    475,543.68x = 125,580,333,229.99
  5. Step 5: Solve for x
    x = 125,580,333,229.99/475,543.68
  6. Step 6: Final answer
    x = 264,077.39

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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.