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Finding the Fourth Proportional to 589,315.65, 813,233.97 and 360,256.56

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Solution

The fourth proportional to 589,315.65, 813,233.97 and 360,256.56 is: 497,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,315.65 : 813,233.97 = 360,256.56 : x
  2. Step 2: Convert to fraction form
    589,315.65/813,233.97 = 360,256.56/x
  3. Step 3: Cross multiply
    589,315.65x = 813,233.97 × 360,256.56
  4. Step 4: Simplify right side
    589,315.65x = 292,972,872,507.34
  5. Step 5: Solve for x
    x = 292,972,872,507.34/589,315.65
  6. Step 6: Final answer
    x = 497,140.83

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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.