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Finding the Fourth Proportional to 464,340.42, 696,510.78 and 306,531.97

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Solution

The fourth proportional to 464,340.42, 696,510.78 and 306,531.97 is: 459,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,340.42 : 696,510.78 = 306,531.97 : x
  2. Step 2: Convert to fraction form
    464,340.42/696,510.78 = 306,531.97/x
  3. Step 3: Cross multiply
    464,340.42x = 696,510.78 × 306,531.97
  4. Step 4: Simplify right side
    464,340.42x = 213,502,820,353.11
  5. Step 5: Solve for x
    x = 213,502,820,353.11/464,340.42
  6. Step 6: Final answer
    x = 459,798.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.