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Finding the Fourth Proportional to 719,598.24, 992,846.88 and 413,658.72

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Solution

The fourth proportional to 719,598.24, 992,846.88 and 413,658.72 is: 570,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,598.24 : 992,846.88 = 413,658.72 : x
  2. Step 2: Convert to fraction form
    719,598.24/992,846.88 = 413,658.72/x
  3. Step 3: Cross multiply
    719,598.24x = 992,846.88 × 413,658.72
  4. Step 4: Simplify right side
    719,598.24x = 410,699,769,536.79
  5. Step 5: Solve for x
    x = 410,699,769,536.79/719,598.24
  6. Step 6: Final answer
    x = 570,734.82

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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.