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Finding the Fourth Proportional to 292,521, 403,678.98 and 158,385

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Solution

The fourth proportional to 292,521, 403,678.98 and 158,385 is: 218,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,521 : 403,678.98 = 158,385 : x
  2. Step 2: Convert to fraction form
    292,521/403,678.98 = 158,385/x
  3. Step 3: Cross multiply
    292,521x = 403,678.98 × 158,385
  4. Step 4: Simplify right side
    292,521x = 63,936,695,247.30
  5. Step 5: Solve for x
    x = 63,936,695,247.30/292,521
  6. Step 6: Final answer
    x = 218,571.30

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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.