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Finding the Fourth Proportional to 526,340.64, 726,333.70 and 296,894.50

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Solution

The fourth proportional to 526,340.64, 726,333.70 and 296,894.50 is: 409,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,340.64 : 726,333.70 = 296,894.50 : x
  2. Step 2: Convert to fraction form
    526,340.64/726,333.70 = 296,894.50/x
  3. Step 3: Cross multiply
    526,340.64x = 726,333.70 × 296,894.50
  4. Step 4: Simplify right side
    526,340.64x = 215,644,477,062.98
  5. Step 5: Solve for x
    x = 215,644,477,062.98/526,340.64
  6. Step 6: Final answer
    x = 409,705.16

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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.