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Finding the Fourth Proportional to 697,499.56, 962,838.66 and 471,451.24

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Solution

The fourth proportional to 697,499.56, 962,838.66 and 471,451.24 is: 650,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,499.56 : 962,838.66 = 471,451.24 : x
  2. Step 2: Convert to fraction form
    697,499.56/962,838.66 = 471,451.24/x
  3. Step 3: Cross multiply
    697,499.56x = 962,838.66 × 471,451.24
  4. Step 4: Simplify right side
    697,499.56x = 453,931,480,176.94
  5. Step 5: Solve for x
    x = 453,931,480,176.94/697,499.56
  6. Step 6: Final answer
    x = 650,798.23

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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.