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Finding the Fourth Proportional to 906,096.76, 1,359,051.64 and 307,042.40

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Solution

The fourth proportional to 906,096.76, 1,359,051.64 and 307,042.40 is: 460,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,096.76 : 1,359,051.64 = 307,042.40 : x
  2. Step 2: Convert to fraction form
    906,096.76/1,359,051.64 = 307,042.40/x
  3. Step 3: Cross multiply
    906,096.76x = 1,359,051.64 × 307,042.40
  4. Step 4: Simplify right side
    906,096.76x = 417,286,477,269.54
  5. Step 5: Solve for x
    x = 417,286,477,269.54/906,096.76
  6. Step 6: Final answer
    x = 460,531.92

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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.