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Finding the Fourth Proportional to 579,568.40, 867,509.40 and 413,680.40

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Solution

The fourth proportional to 579,568.40, 867,509.40 and 413,680.40 is: 619,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,568.40 : 867,509.40 = 413,680.40 : x
  2. Step 2: Convert to fraction form
    579,568.40/867,509.40 = 413,680.40/x
  3. Step 3: Cross multiply
    579,568.40x = 867,509.40 × 413,680.40
  4. Step 4: Simplify right side
    579,568.40x = 358,871,635,595.76
  5. Step 5: Solve for x
    x = 358,871,635,595.76/579,568.40
  6. Step 6: Final answer
    x = 619,204.97

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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.