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Finding the Fourth Proportional to 509,667.80, 764,501.70 and 257,725.40

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Solution

The fourth proportional to 509,667.80, 764,501.70 and 257,725.40 is: 386,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,667.80 : 764,501.70 = 257,725.40 : x
  2. Step 2: Convert to fraction form
    509,667.80/764,501.70 = 257,725.40/x
  3. Step 3: Cross multiply
    509,667.80x = 764,501.70 × 257,725.40
  4. Step 4: Simplify right side
    509,667.80x = 197,031,506,433.18
  5. Step 5: Solve for x
    x = 197,031,506,433.18/509,667.80
  6. Step 6: Final answer
    x = 386,588.10

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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.