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Finding the Fourth Proportional to 472,254.78, 651,466.07 and 299,877.82

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Solution

The fourth proportional to 472,254.78, 651,466.07 and 299,877.82 is: 413,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,254.78 : 651,466.07 = 299,877.82 : x
  2. Step 2: Convert to fraction form
    472,254.78/651,466.07 = 299,877.82/x
  3. Step 3: Cross multiply
    472,254.78x = 651,466.07 × 299,877.82
  4. Step 4: Simplify right side
    472,254.78x = 195,360,224,875.57
  5. Step 5: Solve for x
    x = 195,360,224,875.57/472,254.78
  6. Step 6: Final answer
    x = 413,675.48

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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.