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Finding the Fourth Proportional to 334,709.80, 502,064.70 and 201,999.40

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Solution

The fourth proportional to 334,709.80, 502,064.70 and 201,999.40 is: 302,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,709.80 : 502,064.70 = 201,999.40 : x
  2. Step 2: Convert to fraction form
    334,709.80/502,064.70 = 201,999.40/x
  3. Step 3: Cross multiply
    334,709.80x = 502,064.70 × 201,999.40
  4. Step 4: Simplify right side
    334,709.80x = 101,416,768,161.18
  5. Step 5: Solve for x
    x = 101,416,768,161.18/334,709.80
  6. Step 6: Final answer
    x = 302,999.10

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1.5x scale

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.