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Finding the Fourth Proportional to 410,748.45, 614,623.95 and 242,349.45

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Solution

The fourth proportional to 410,748.45, 614,623.95 and 242,349.45 is: 362,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,748.45 : 614,623.95 = 242,349.45 : x
  2. Step 2: Convert to fraction form
    410,748.45/614,623.95 = 242,349.45/x
  3. Step 3: Cross multiply
    410,748.45x = 614,623.95 × 242,349.45
  4. Step 4: Simplify right side
    410,748.45x = 148,953,776,239.33
  5. Step 5: Solve for x
    x = 148,953,776,239.33/410,748.45
  6. Step 6: Final answer
    x = 362,639.90

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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.