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Finding the Fourth Proportional to 615,089.40, 922,461.30 and 194,494.20

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Solution

The fourth proportional to 615,089.40, 922,461.30 and 194,494.20 is: 291,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,089.40 : 922,461.30 = 194,494.20 : x
  2. Step 2: Convert to fraction form
    615,089.40/922,461.30 = 194,494.20/x
  3. Step 3: Cross multiply
    615,089.40x = 922,461.30 × 194,494.20
  4. Step 4: Simplify right side
    615,089.40x = 179,413,372,574.46
  5. Step 5: Solve for x
    x = 179,413,372,574.46/615,089.40
  6. Step 6: Final answer
    x = 291,686.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.