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Finding the Fourth Proportional to 264,875.40, 397,313.10 and 140,459.40

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Solution

The fourth proportional to 264,875.40, 397,313.10 and 140,459.40 is: 210,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,875.40 : 397,313.10 = 140,459.40 : x
  2. Step 2: Convert to fraction form
    264,875.40/397,313.10 = 140,459.40/x
  3. Step 3: Cross multiply
    264,875.40x = 397,313.10 × 140,459.40
  4. Step 4: Simplify right side
    264,875.40x = 55,806,359,638.14
  5. Step 5: Solve for x
    x = 55,806,359,638.14/264,875.40
  6. Step 6: Final answer
    x = 210,689.10

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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.