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Finding the Fourth Proportional to 509,603.40, 764,405.10 and 341,641.80

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Solution

The fourth proportional to 509,603.40, 764,405.10 and 341,641.80 is: 512,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,603.40 : 764,405.10 = 341,641.80 : x
  2. Step 2: Convert to fraction form
    509,603.40/764,405.10 = 341,641.80/x
  3. Step 3: Cross multiply
    509,603.40x = 764,405.10 × 341,641.80
  4. Step 4: Simplify right side
    509,603.40x = 261,152,734,293.18
  5. Step 5: Solve for x
    x = 261,152,734,293.18/509,603.40
  6. Step 6: Final answer
    x = 512,462.70

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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.