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Finding the Fourth Proportional to 430,205.40, 645,308.10 and 413,875.80

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Solution

The fourth proportional to 430,205.40, 645,308.10 and 413,875.80 is: 620,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,205.40 : 645,308.10 = 413,875.80 : x
  2. Step 2: Convert to fraction form
    430,205.40/645,308.10 = 413,875.80/x
  3. Step 3: Cross multiply
    430,205.40x = 645,308.10 × 413,875.80
  4. Step 4: Simplify right side
    430,205.40x = 267,077,406,133.98
  5. Step 5: Solve for x
    x = 267,077,406,133.98/430,205.40
  6. Step 6: Final answer
    x = 620,813.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.