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Finding the Fourth Proportional to 650,314.80, 975,545.10 and 201,032.10

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Solution

The fourth proportional to 650,314.80, 975,545.10 and 201,032.10 is: 301,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,314.80 : 975,545.10 = 201,032.10 : x
  2. Step 2: Convert to fraction form
    650,314.80/975,545.10 = 201,032.10/x
  3. Step 3: Cross multiply
    650,314.80x = 975,545.10 × 201,032.10
  4. Step 4: Simplify right side
    650,314.80x = 196,115,880,097.71
  5. Step 5: Solve for x
    x = 196,115,880,097.71/650,314.80
  6. Step 6: Final answer
    x = 301,570.69

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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.