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Finding the Fourth Proportional to 650,947.01, 898,383.71 and 364,411.81

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Solution

The fourth proportional to 650,947.01, 898,383.71 and 364,411.81 is: 502,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,947.01 : 898,383.71 = 364,411.81 : x
  2. Step 2: Convert to fraction form
    650,947.01/898,383.71 = 364,411.81/x
  3. Step 3: Cross multiply
    650,947.01x = 898,383.71 × 364,411.81
  4. Step 4: Simplify right side
    650,947.01x = 327,381,627,521.64
  5. Step 5: Solve for x
    x = 327,381,627,521.64/650,947.01
  6. Step 6: Final answer
    x = 502,931.30

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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.