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Finding the Fourth Proportional to 506,748.07, 699,312.40 and 277,305.40

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Solution

The fourth proportional to 506,748.07, 699,312.40 and 277,305.40 is: 382,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,748.07 : 699,312.40 = 277,305.40 : x
  2. Step 2: Convert to fraction form
    506,748.07/699,312.40 = 277,305.40/x
  3. Step 3: Cross multiply
    506,748.07x = 699,312.40 × 277,305.40
  4. Step 4: Simplify right side
    506,748.07x = 193,923,104,806.96
  5. Step 5: Solve for x
    x = 193,923,104,806.96/506,748.07
  6. Step 6: Final answer
    x = 382,681.49

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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.