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Finding the Fourth Proportional to 283,043.77, 390,598.10 and 160,559.42

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Solution

The fourth proportional to 283,043.77, 390,598.10 and 160,559.42 is: 221,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,043.77 : 390,598.10 = 160,559.42 : x
  2. Step 2: Convert to fraction form
    283,043.77/390,598.10 = 160,559.42/x
  3. Step 3: Cross multiply
    283,043.77x = 390,598.10 × 160,559.42
  4. Step 4: Simplify right side
    283,043.77x = 62,714,202,235.41
  5. Step 5: Solve for x
    x = 62,714,202,235.41/283,043.77
  6. Step 6: Final answer
    x = 221,570.69

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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.