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Finding the Fourth Proportional to 304,349.34, 456,135.78 and 144,424.98

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Solution

The fourth proportional to 304,349.34, 456,135.78 and 144,424.98 is: 216,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,349.34 : 456,135.78 = 144,424.98 : x
  2. Step 2: Convert to fraction form
    304,349.34/456,135.78 = 144,424.98/x
  3. Step 3: Cross multiply
    304,349.34x = 456,135.78 × 144,424.98
  4. Step 4: Simplify right side
    304,349.34x = 65,877,400,903.78
  5. Step 5: Solve for x
    x = 65,877,400,903.78/304,349.34
  6. Step 6: Final answer
    x = 216,453.24

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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.