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Finding the Fourth Proportional to 524,637.76, 786,955.94 and 209,316.10

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Solution

The fourth proportional to 524,637.76, 786,955.94 and 209,316.10 is: 313,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,637.76 : 786,955.94 = 209,316.10 : x
  2. Step 2: Convert to fraction form
    524,637.76/786,955.94 = 209,316.10/x
  3. Step 3: Cross multiply
    524,637.76x = 786,955.94 × 209,316.10
  4. Step 4: Simplify right side
    524,637.76x = 164,722,543,251.27
  5. Step 5: Solve for x
    x = 164,722,543,251.27/524,637.76
  6. Step 6: Final answer
    x = 313,973.86

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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.