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Finding the Fourth Proportional to 307,875.20, 461,827.20 and 97,529.60

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Solution

The fourth proportional to 307,875.20, 461,827.20 and 97,529.60 is: 146,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,875.20 : 461,827.20 = 97,529.60 : x
  2. Step 2: Convert to fraction form
    307,875.20/461,827.20 = 97,529.60/x
  3. Step 3: Cross multiply
    307,875.20x = 461,827.20 × 97,529.60
  4. Step 4: Simplify right side
    307,875.20x = 45,041,822,085.12
  5. Step 5: Solve for x
    x = 45,041,822,085.12/307,875.20
  6. Step 6: Final answer
    x = 146,298.96

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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.