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Finding the Fourth Proportional to 302,223.20, 453,205.20 and 152,405.60

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Solution

The fourth proportional to 302,223.20, 453,205.20 and 152,405.60 is: 228,543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,223.20 : 453,205.20 = 152,405.60 : x
  2. Step 2: Convert to fraction form
    302,223.20/453,205.20 = 152,405.60/x
  3. Step 3: Cross multiply
    302,223.20x = 453,205.20 × 152,405.60
  4. Step 4: Simplify right side
    302,223.20x = 69,071,010,429.12
  5. Step 5: Solve for x
    x = 69,071,010,429.12/302,223.20
  6. Step 6: Final answer
    x = 228,543.05

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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.