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Finding the Fourth Proportional to 518,029.59, 714,932.01 and 303,156.84

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Solution

The fourth proportional to 518,029.59, 714,932.01 and 303,156.84 is: 418,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,029.59 : 714,932.01 = 303,156.84 : x
  2. Step 2: Convert to fraction form
    518,029.59/714,932.01 = 303,156.84/x
  3. Step 3: Cross multiply
    518,029.59x = 714,932.01 × 303,156.84
  4. Step 4: Simplify right side
    518,029.59x = 216,736,528,966.45
  5. Step 5: Solve for x
    x = 216,736,528,966.45/518,029.59
  6. Step 6: Final answer
    x = 418,386.39

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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.