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Finding the Fourth Proportional to 314,726.70, 472,090.05 and 146,246.70

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Solution

The fourth proportional to 314,726.70, 472,090.05 and 146,246.70 is: 219,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,726.70 : 472,090.05 = 146,246.70 : x
  2. Step 2: Convert to fraction form
    314,726.70/472,090.05 = 146,246.70/x
  3. Step 3: Cross multiply
    314,726.70x = 472,090.05 × 146,246.70
  4. Step 4: Simplify right side
    314,726.70x = 69,041,611,915.34
  5. Step 5: Solve for x
    x = 69,041,611,915.34/314,726.70
  6. Step 6: Final answer
    x = 219,370.05

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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.