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Finding the Fourth Proportional to 456,925.38, 630,469.54 and 295,758.06

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Solution

The fourth proportional to 456,925.38, 630,469.54 and 295,758.06 is: 408,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,925.38 : 630,469.54 = 295,758.06 : x
  2. Step 2: Convert to fraction form
    456,925.38/630,469.54 = 295,758.06/x
  3. Step 3: Cross multiply
    456,925.38x = 630,469.54 × 295,758.06
  4. Step 4: Simplify right side
    456,925.38x = 186,466,448,039.49
  5. Step 5: Solve for x
    x = 186,466,448,039.49/456,925.38
  6. Step 6: Final answer
    x = 408,089.50

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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.