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Finding the Fourth Proportional to 518,077.41, 714,750.21 and 314,053.89

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Solution

The fourth proportional to 518,077.41, 714,750.21 and 314,053.89 is: 433,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,077.41 : 714,750.21 = 314,053.89 : x
  2. Step 2: Convert to fraction form
    518,077.41/714,750.21 = 314,053.89/x
  3. Step 3: Cross multiply
    518,077.41x = 714,750.21 × 314,053.89
  4. Step 4: Simplify right side
    518,077.41x = 224,470,083,828.82
  5. Step 5: Solve for x
    x = 224,470,083,828.82/518,077.41
  6. Step 6: Final answer
    x = 433,275.18

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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.