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Finding the Fourth Proportional to 346,412, 519,790.20 and 194,514.56

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Solution

The fourth proportional to 346,412, 519,790.20 and 194,514.56 is: 291,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,412 : 519,790.20 = 194,514.56 : x
  2. Step 2: Convert to fraction form
    346,412/519,790.20 = 194,514.56/x
  3. Step 3: Cross multiply
    346,412x = 519,790.20 × 194,514.56
  4. Step 4: Simplify right side
    346,412x = 101,106,762,045.31
  5. Step 5: Solve for x
    x = 101,106,762,045.31/346,412
  6. Step 6: Final answer
    x = 291,868.53

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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.