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Finding the Fourth Proportional to 576,046.86, 864,075.42 and 176,689.50

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Solution

The fourth proportional to 576,046.86, 864,075.42 and 176,689.50 is: 265,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,046.86 : 864,075.42 = 176,689.50 : x
  2. Step 2: Convert to fraction form
    576,046.86/864,075.42 = 176,689.50/x
  3. Step 3: Cross multiply
    576,046.86x = 864,075.42 × 176,689.50
  4. Step 4: Simplify right side
    576,046.86x = 152,673,053,922.09
  5. Step 5: Solve for x
    x = 152,673,053,922.09/576,046.86
  6. Step 6: Final answer
    x = 265,035.82

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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.