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Finding the Fourth Proportional to 477,106.53, 658,142.79 and 302,356.74

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Solution

The fourth proportional to 477,106.53, 658,142.79 and 302,356.74 is: 417,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,106.53 : 658,142.79 = 302,356.74 : x
  2. Step 2: Convert to fraction form
    477,106.53/658,142.79 = 302,356.74/x
  3. Step 3: Cross multiply
    477,106.53x = 658,142.79 × 302,356.74
  4. Step 4: Simplify right side
    477,106.53x = 198,993,908,438.91
  5. Step 5: Solve for x
    x = 198,993,908,438.91/477,106.53
  6. Step 6: Final answer
    x = 417,084.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.