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Finding the Fourth Proportional to 661,398.18, 912,894.84 and 406,601.76

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Solution

The fourth proportional to 661,398.18, 912,894.84 and 406,601.76 is: 561,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,398.18 : 912,894.84 = 406,601.76 : x
  2. Step 2: Convert to fraction form
    661,398.18/912,894.84 = 406,601.76/x
  3. Step 3: Cross multiply
    661,398.18x = 912,894.84 × 406,601.76
  4. Step 4: Simplify right side
    661,398.18x = 371,184,648,638.92
  5. Step 5: Solve for x
    x = 371,184,648,638.92/661,398.18
  6. Step 6: Final answer
    x = 561,212.08

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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.