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Finding the Fourth Proportional to 292,460, 403,595.34 and 158,324

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Solution

The fourth proportional to 292,460, 403,595.34 and 158,324 is: 218,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,460 : 403,595.34 = 158,324 : x
  2. Step 2: Convert to fraction form
    292,460/403,595.34 = 158,324/x
  3. Step 3: Cross multiply
    292,460x = 403,595.34 × 158,324
  4. Step 4: Simplify right side
    292,460x = 63,898,828,610.16
  5. Step 5: Solve for x
    x = 63,898,828,610.16/292,460
  6. Step 6: Final answer
    x = 218,487.41

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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.