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Finding the Fourth Proportional to 346,174.40, 519,348 and 96,854.24

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Solution

The fourth proportional to 346,174.40, 519,348 and 96,854.24 is: 145,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,174.40 : 519,348 = 96,854.24 : x
  2. Step 2: Convert to fraction form
    346,174.40/519,348 = 96,854.24/x
  3. Step 3: Cross multiply
    346,174.40x = 519,348 × 96,854.24
  4. Step 4: Simplify right side
    346,174.40x = 50,301,055,835.52
  5. Step 5: Solve for x
    x = 50,301,055,835.52/346,174.40
  6. Step 6: Final answer
    x = 145,305.53

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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.