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Finding the Fourth Proportional to 475,423.64, 713,135.46 and 288,041.48

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Solution

The fourth proportional to 475,423.64, 713,135.46 and 288,041.48 is: 432,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,423.64 : 713,135.46 = 288,041.48 : x
  2. Step 2: Convert to fraction form
    475,423.64/713,135.46 = 288,041.48/x
  3. Step 3: Cross multiply
    475,423.64x = 713,135.46 × 288,041.48
  4. Step 4: Simplify right side
    475,423.64x = 205,412,588,333.00
  5. Step 5: Solve for x
    x = 205,412,588,333.00/475,423.64
  6. Step 6: Final answer
    x = 432,062.21

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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.