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Finding the Fourth Proportional to 342,058.38, 510,582.52 and 301,658.02

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Solution

The fourth proportional to 342,058.38, 510,582.52 and 301,658.02 is: 450,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,058.38 : 510,582.52 = 301,658.02 : x
  2. Step 2: Convert to fraction form
    342,058.38/510,582.52 = 301,658.02/x
  3. Step 3: Cross multiply
    342,058.38x = 510,582.52 × 301,658.02
  4. Step 4: Simplify right side
    342,058.38x = 154,021,312,029.81
  5. Step 5: Solve for x
    x = 154,021,312,029.81/342,058.38
  6. Step 6: Final answer
    x = 450,277.85

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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.