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Finding the Fourth Proportional to 431,802.32, 647,547.87 and 182,503.76

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Solution

The fourth proportional to 431,802.32, 647,547.87 and 182,503.76 is: 273,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,802.32 : 647,547.87 = 182,503.76 : x
  2. Step 2: Convert to fraction form
    431,802.32/647,547.87 = 182,503.76/x
  3. Step 3: Cross multiply
    431,802.32x = 647,547.87 × 182,503.76
  4. Step 4: Simplify right side
    431,802.32x = 118,179,921,054.99
  5. Step 5: Solve for x
    x = 118,179,921,054.99/431,802.32
  6. Step 6: Final answer
    x = 273,689.87

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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.