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Finding the Fourth Proportional to 307,870.70, 461,028.45 and 202,117.10

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Solution

The fourth proportional to 307,870.70, 461,028.45 and 202,117.10 is: 302,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,870.70 : 461,028.45 = 202,117.10 : x
  2. Step 2: Convert to fraction form
    307,870.70/461,028.45 = 202,117.10/x
  3. Step 3: Cross multiply
    307,870.70x = 461,028.45 × 202,117.10
  4. Step 4: Simplify right side
    307,870.70x = 93,181,733,331.50
  5. Step 5: Solve for x
    x = 93,181,733,331.50/307,870.70
  6. Step 6: Final answer
    x = 302,665.16

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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.