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Finding the Fourth Proportional to 475,316.49, 712,974.43 and 191,007.10

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Solution

The fourth proportional to 475,316.49, 712,974.43 and 191,007.10 is: 286,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,316.49 : 712,974.43 = 191,007.10 : x
  2. Step 2: Convert to fraction form
    475,316.49/712,974.43 = 191,007.10/x
  3. Step 3: Cross multiply
    475,316.49x = 712,974.43 × 191,007.10
  4. Step 4: Simplify right side
    475,316.49x = 136,183,178,248.45
  5. Step 5: Solve for x
    x = 136,183,178,248.45/475,316.49
  6. Step 6: Final answer
    x = 286,510.53

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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.