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Finding the Fourth Proportional to 462,903.04, 693,640.14 and 312,554.08

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Solution

The fourth proportional to 462,903.04, 693,640.14 and 312,554.08 is: 468,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,903.04 : 693,640.14 = 312,554.08 : x
  2. Step 2: Convert to fraction form
    462,903.04/693,640.14 = 312,554.08/x
  3. Step 3: Cross multiply
    462,903.04x = 693,640.14 × 312,554.08
  4. Step 4: Simplify right side
    462,903.04x = 216,800,055,808.77
  5. Step 5: Solve for x
    x = 216,800,055,808.77/462,903.04
  6. Step 6: Final answer
    x = 468,348.74

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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.