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Finding the Fourth Proportional to 705,117.50, 973,078.54 and 418,638.32

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Solution

The fourth proportional to 705,117.50, 973,078.54 and 418,638.32 is: 577,730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,117.50 : 973,078.54 = 418,638.32 : x
  2. Step 2: Convert to fraction form
    705,117.50/973,078.54 = 418,638.32/x
  3. Step 3: Cross multiply
    705,117.50x = 973,078.54 × 418,638.32
  4. Step 4: Simplify right side
    705,117.50x = 407,367,960,348.26
  5. Step 5: Solve for x
    x = 407,367,960,348.26/705,117.50
  6. Step 6: Final answer
    x = 577,730.61

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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.