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Finding the Fourth Proportional to 340,133.40, 510,200.10 and 292,894.20

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Solution

The fourth proportional to 340,133.40, 510,200.10 and 292,894.20 is: 439,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,133.40 : 510,200.10 = 292,894.20 : x
  2. Step 2: Convert to fraction form
    340,133.40/510,200.10 = 292,894.20/x
  3. Step 3: Cross multiply
    340,133.40x = 510,200.10 × 292,894.20
  4. Step 4: Simplify right side
    340,133.40x = 149,434,650,129.42
  5. Step 5: Solve for x
    x = 149,434,650,129.42/340,133.40
  6. Step 6: Final answer
    x = 439,341.30

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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.