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Finding the Fourth Proportional to 474,574.61, 654,811.70 and 281,043.14

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Solution

The fourth proportional to 474,574.61, 654,811.70 and 281,043.14 is: 387,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,574.61 : 654,811.70 = 281,043.14 : x
  2. Step 2: Convert to fraction form
    474,574.61/654,811.70 = 281,043.14/x
  3. Step 3: Cross multiply
    474,574.61x = 654,811.70 × 281,043.14
  4. Step 4: Simplify right side
    474,574.61x = 184,030,331,597.46
  5. Step 5: Solve for x
    x = 184,030,331,597.46/474,574.61
  6. Step 6: Final answer
    x = 387,779.55

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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.