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Finding the Fourth Proportional to 516,415.33, 712,737.70 and 430,237.65

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Solution

The fourth proportional to 516,415.33, 712,737.70 and 430,237.65 is: 593,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,415.33 : 712,737.70 = 430,237.65 : x
  2. Step 2: Convert to fraction form
    516,415.33/712,737.70 = 430,237.65/x
  3. Step 3: Cross multiply
    516,415.33x = 712,737.70 × 430,237.65
  4. Step 4: Simplify right side
    516,415.33x = 306,646,593,114.41
  5. Step 5: Solve for x
    x = 306,646,593,114.41/516,415.33
  6. Step 6: Final answer
    x = 593,798.40

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1.5x scale

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.