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Finding the Fourth Proportional to 289,309.10, 433,963.65 and 102,296.30

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Solution

The fourth proportional to 289,309.10, 433,963.65 and 102,296.30 is: 153,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,309.10 : 433,963.65 = 102,296.30 : x
  2. Step 2: Convert to fraction form
    289,309.10/433,963.65 = 102,296.30/x
  3. Step 3: Cross multiply
    289,309.10x = 433,963.65 × 102,296.30
  4. Step 4: Simplify right side
    289,309.10x = 44,392,875,729.50
  5. Step 5: Solve for x
    x = 44,392,875,729.50/289,309.10
  6. Step 6: Final answer
    x = 153,444.45

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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.