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Finding the Fourth Proportional to 334,680.40, 502,409.40 and 201,710.80

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Solution

The fourth proportional to 334,680.40, 502,409.40 and 201,710.80 is: 302,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,680.40 : 502,409.40 = 201,710.80 : x
  2. Step 2: Convert to fraction form
    334,680.40/502,409.40 = 201,710.80/x
  3. Step 3: Cross multiply
    334,680.40x = 502,409.40 × 201,710.80
  4. Step 4: Simplify right side
    334,680.40x = 101,341,402,001.52
  5. Step 5: Solve for x
    x = 101,341,402,001.52/334,680.40
  6. Step 6: Final answer
    x = 302,800.53

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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.