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Finding the Fourth Proportional to 462,902.04, 693,638.64 and 312,553.08

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Solution

The fourth proportional to 462,902.04, 693,638.64 and 312,553.08 is: 468,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,902.04 : 693,638.64 = 312,553.08 : x
  2. Step 2: Convert to fraction form
    462,902.04/693,638.64 = 312,553.08/x
  3. Step 3: Cross multiply
    462,902.04x = 693,638.64 × 312,553.08
  4. Step 4: Simplify right side
    462,902.04x = 216,798,893,339.01
  5. Step 5: Solve for x
    x = 216,798,893,339.01/462,902.04
  6. Step 6: Final answer
    x = 468,347.24

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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.