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Finding the Fourth Proportional to 475,591.40, 713,480.32 and 176,074.28

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Solution

The fourth proportional to 475,591.40, 713,480.32 and 176,074.28 is: 264,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,591.40 : 713,480.32 = 176,074.28 : x
  2. Step 2: Convert to fraction form
    475,591.40/713,480.32 = 176,074.28/x
  3. Step 3: Cross multiply
    475,591.40x = 713,480.32 × 176,074.28
  4. Step 4: Simplify right side
    475,591.40x = 125,625,533,638.17
  5. Step 5: Solve for x
    x = 125,625,533,638.17/475,591.40
  6. Step 6: Final answer
    x = 264,145.93

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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.