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Finding the Fourth Proportional to 304,667.40, 457,130.70 and 146,814.60

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Solution

The fourth proportional to 304,667.40, 457,130.70 and 146,814.60 is: 220,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,667.40 : 457,130.70 = 146,814.60 : x
  2. Step 2: Convert to fraction form
    304,667.40/457,130.70 = 146,814.60/x
  3. Step 3: Cross multiply
    304,667.40x = 457,130.70 × 146,814.60
  4. Step 4: Simplify right side
    304,667.40x = 67,113,460,868.22
  5. Step 5: Solve for x
    x = 67,113,460,868.22/304,667.40
  6. Step 6: Final answer
    x = 220,284.35

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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.