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Finding the Fourth Proportional to 412,835.40, 619,253.10 and 360,347.40

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Solution

The fourth proportional to 412,835.40, 619,253.10 and 360,347.40 is: 540,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,835.40 : 619,253.10 = 360,347.40 : x
  2. Step 2: Convert to fraction form
    412,835.40/619,253.10 = 360,347.40/x
  3. Step 3: Cross multiply
    412,835.40x = 619,253.10 × 360,347.40
  4. Step 4: Simplify right side
    412,835.40x = 223,146,244,526.94
  5. Step 5: Solve for x
    x = 223,146,244,526.94/412,835.40
  6. Step 6: Final answer
    x = 540,521.10

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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.