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Finding the Fourth Proportional to 346,713.80, 520,070.70 and 199,257.80

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Solution

The fourth proportional to 346,713.80, 520,070.70 and 199,257.80 is: 298,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,713.80 : 520,070.70 = 199,257.80 : x
  2. Step 2: Convert to fraction form
    346,713.80/520,070.70 = 199,257.80/x
  3. Step 3: Cross multiply
    346,713.80x = 520,070.70 × 199,257.80
  4. Step 4: Simplify right side
    346,713.80x = 103,628,143,526.46
  5. Step 5: Solve for x
    x = 103,628,143,526.46/346,713.80
  6. Step 6: Final answer
    x = 298,886.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.