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Finding the Fourth Proportional to 517,983.40, 714,814.50 and 291,630.52

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Solution

The fourth proportional to 517,983.40, 714,814.50 and 291,630.52 is: 402,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,983.40 : 714,814.50 = 291,630.52 : x
  2. Step 2: Convert to fraction form
    517,983.40/714,814.50 = 291,630.52/x
  3. Step 3: Cross multiply
    517,983.40x = 714,814.50 × 291,630.52
  4. Step 4: Simplify right side
    517,983.40x = 208,461,724,338.54
  5. Step 5: Solve for x
    x = 208,461,724,338.54/517,983.40
  6. Step 6: Final answer
    x = 402,448.66

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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.