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Finding the Fourth Proportional to 360,312.91, 497,210.20 and 199,158.35

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Solution

The fourth proportional to 360,312.91, 497,210.20 and 199,158.35 is: 274,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,312.91 : 497,210.20 = 199,158.35 : x
  2. Step 2: Convert to fraction form
    360,312.91/497,210.20 = 199,158.35/x
  3. Step 3: Cross multiply
    360,312.91x = 497,210.20 × 199,158.35
  4. Step 4: Simplify right side
    360,312.91x = 99,023,560,051.22
  5. Step 5: Solve for x
    x = 99,023,560,051.22/360,312.91
  6. Step 6: Final answer
    x = 274,826.57

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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.