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Finding the Fourth Proportional to 407,271.18, 560,041.23 and 353,462.76

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Solution

The fourth proportional to 407,271.18, 560,041.23 and 353,462.76 is: 486,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,271.18 : 560,041.23 = 353,462.76 : x
  2. Step 2: Convert to fraction form
    407,271.18/560,041.23 = 353,462.76/x
  3. Step 3: Cross multiply
    407,271.18x = 560,041.23 × 353,462.76
  4. Step 4: Simplify right side
    407,271.18x = 197,953,718,869.60
  5. Step 5: Solve for x
    x = 197,953,718,869.60/407,271.18
  6. Step 6: Final answer
    x = 486,048.92

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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.