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Finding the Fourth Proportional to 382,920.16, 577,247.14 and 357,230.20

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Solution

The fourth proportional to 382,920.16, 577,247.14 and 357,230.20 is: 538,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,920.16 : 577,247.14 = 357,230.20 : x
  2. Step 2: Convert to fraction form
    382,920.16/577,247.14 = 357,230.20/x
  3. Step 3: Cross multiply
    382,920.16x = 577,247.14 × 357,230.20
  4. Step 4: Simplify right side
    382,920.16x = 206,210,111,271.63
  5. Step 5: Solve for x
    x = 206,210,111,271.63/382,920.16
  6. Step 6: Final answer
    x = 538,519.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.