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Finding the Fourth Proportional to 472,615.86, 708,716.43 and 176,920.50

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Solution

The fourth proportional to 472,615.86, 708,716.43 and 176,920.50 is: 265,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,615.86 : 708,716.43 = 176,920.50 : x
  2. Step 2: Convert to fraction form
    472,615.86/708,716.43 = 176,920.50/x
  3. Step 3: Cross multiply
    472,615.86x = 708,716.43 × 176,920.50
  4. Step 4: Simplify right side
    472,615.86x = 125,386,465,153.82
  5. Step 5: Solve for x
    x = 125,386,465,153.82/472,615.86
  6. Step 6: Final answer
    x = 265,303.13

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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.