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Finding the Fourth Proportional to 342,024, 510,531.31 and 301,623.63

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Solution

The fourth proportional to 342,024, 510,531.31 and 301,623.63 is: 450,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,024 : 510,531.31 = 301,623.63 : x
  2. Step 2: Convert to fraction form
    342,024/510,531.31 = 301,623.63/x
  3. Step 3: Cross multiply
    342,024x = 510,531.31 × 301,623.63
  4. Step 4: Simplify right side
    342,024x = 153,988,306,950.86
  5. Step 5: Solve for x
    x = 153,988,306,950.86/342,024
  6. Step 6: Final answer
    x = 450,226.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.