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Finding the Fourth Proportional to 705,006.04, 973,414.02 and 433,438.36

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Solution

The fourth proportional to 705,006.04, 973,414.02 and 433,438.36 is: 598,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,006.04 : 973,414.02 = 433,438.36 : x
  2. Step 2: Convert to fraction form
    705,006.04/973,414.02 = 433,438.36/x
  3. Step 3: Cross multiply
    705,006.04x = 973,414.02 × 433,438.36
  4. Step 4: Simplify right side
    705,006.04x = 421,914,976,429.81
  5. Step 5: Solve for x
    x = 421,914,976,429.81/705,006.04
  6. Step 6: Final answer
    x = 598,455.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.