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Finding the Fourth Proportional to 461,803.60, 692,705.40 and 414,564.40

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Solution

The fourth proportional to 461,803.60, 692,705.40 and 414,564.40 is: 621,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,803.60 : 692,705.40 = 414,564.40 : x
  2. Step 2: Convert to fraction form
    461,803.60/692,705.40 = 414,564.40/x
  3. Step 3: Cross multiply
    461,803.60x = 692,705.40 × 414,564.40
  4. Step 4: Simplify right side
    461,803.60x = 287,170,998,527.76
  5. Step 5: Solve for x
    x = 287,170,998,527.76/461,803.60
  6. Step 6: Final answer
    x = 621,846.60

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Similar ratio
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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.