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Finding the Fourth Proportional to 292,468, 403,606.38 and 158,332

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Solution

The fourth proportional to 292,468, 403,606.38 and 158,332 is: 218,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,468 : 403,606.38 = 158,332 : x
  2. Step 2: Convert to fraction form
    292,468/403,606.38 = 158,332/x
  3. Step 3: Cross multiply
    292,468x = 403,606.38 × 158,332
  4. Step 4: Simplify right side
    292,468x = 63,903,805,358.16
  5. Step 5: Solve for x
    x = 63,903,805,358.16/292,468
  6. Step 6: Final answer
    x = 218,498.45

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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.