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Finding the Fourth Proportional to 456,893, 630,424.86 and 295,725.68

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Solution

The fourth proportional to 456,893, 630,424.86 and 295,725.68 is: 408,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,893 : 630,424.86 = 295,725.68 : x
  2. Step 2: Convert to fraction form
    456,893/630,424.86 = 295,725.68/x
  3. Step 3: Cross multiply
    456,893x = 630,424.86 × 295,725.68
  4. Step 4: Simplify right side
    456,893x = 186,432,820,412.41
  5. Step 5: Solve for x
    x = 186,432,820,412.41/456,893
  6. Step 6: Final answer
    x = 408,044.82

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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.