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Finding the Fourth Proportional to 304,032.40, 455,458.02 and 146,371.48

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Solution

The fourth proportional to 304,032.40, 455,458.02 and 146,371.48 is: 219,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,032.40 : 455,458.02 = 146,371.48 : x
  2. Step 2: Convert to fraction form
    304,032.40/455,458.02 = 146,371.48/x
  3. Step 3: Cross multiply
    304,032.40x = 455,458.02 × 146,371.48
  4. Step 4: Simplify right side
    304,032.40x = 66,666,064,465.27
  5. Step 5: Solve for x
    x = 66,666,064,465.27/304,032.40
  6. Step 6: Final answer
    x = 219,272.89

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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.