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Finding the Fourth Proportional to 642,410.80, 963,616.20 and 430,903.60

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Solution

The fourth proportional to 642,410.80, 963,616.20 and 430,903.60 is: 646,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,410.80 : 963,616.20 = 430,903.60 : x
  2. Step 2: Convert to fraction form
    642,410.80/963,616.20 = 430,903.60/x
  3. Step 3: Cross multiply
    642,410.80x = 963,616.20 × 430,903.60
  4. Step 4: Simplify right side
    642,410.80x = 415,225,689,598.32
  5. Step 5: Solve for x
    x = 415,225,689,598.32/642,410.80
  6. Step 6: Final answer
    x = 646,355.40

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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.