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Finding the Fourth Proportional to 292,506, 403,658.64 and 158,370

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Solution

The fourth proportional to 292,506, 403,658.64 and 158,370 is: 218,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,506 : 403,658.64 = 158,370 : x
  2. Step 2: Convert to fraction form
    292,506/403,658.64 = 158,370/x
  3. Step 3: Cross multiply
    292,506x = 403,658.64 × 158,370
  4. Step 4: Simplify right side
    292,506x = 63,927,418,816.80
  5. Step 5: Solve for x
    x = 63,927,418,816.80/292,506
  6. Step 6: Final answer
    x = 218,550.79

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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.