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Finding the Fourth Proportional to 289,272.60, 433,908.90 and 102,259.80

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Solution

The fourth proportional to 289,272.60, 433,908.90 and 102,259.80 is: 153,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,272.60 : 433,908.90 = 102,259.80 : x
  2. Step 2: Convert to fraction form
    289,272.60/433,908.90 = 102,259.80/x
  3. Step 3: Cross multiply
    289,272.60x = 433,908.90 × 102,259.80
  4. Step 4: Simplify right side
    289,272.60x = 44,371,437,332.22
  5. Step 5: Solve for x
    x = 44,371,437,332.22/289,272.60
  6. Step 6: Final answer
    x = 153,389.70

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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.