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Finding the Fourth Proportional to 292,718.76, 403,952.30 and 158,582.76

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Solution

The fourth proportional to 292,718.76, 403,952.30 and 158,582.76 is: 218,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,718.76 : 403,952.30 = 158,582.76 : x
  2. Step 2: Convert to fraction form
    292,718.76/403,952.30 = 158,582.76/x
  3. Step 3: Cross multiply
    292,718.76x = 403,952.30 × 158,582.76
  4. Step 4: Simplify right side
    292,718.76x = 64,059,870,642.35
  5. Step 5: Solve for x
    x = 64,059,870,642.35/292,718.76
  6. Step 6: Final answer
    x = 218,844.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.