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Finding the Fourth Proportional to 509,451.60, 703,017.54 and 283,092.24

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Solution

The fourth proportional to 509,451.60, 703,017.54 and 283,092.24 is: 390,653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,451.60 : 703,017.54 = 283,092.24 : x
  2. Step 2: Convert to fraction form
    509,451.60/703,017.54 = 283,092.24/x
  3. Step 3: Cross multiply
    509,451.60x = 703,017.54 × 283,092.24
  4. Step 4: Simplify right side
    509,451.60x = 199,018,810,157.89
  5. Step 5: Solve for x
    x = 199,018,810,157.89/509,451.60
  6. Step 6: Final answer
    x = 390,653.03

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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.