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Finding the Fourth Proportional to 504,970.80, 697,112.22 and 314,045.70

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Solution

The fourth proportional to 504,970.80, 697,112.22 and 314,045.70 is: 433,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,970.80 : 697,112.22 = 314,045.70 : x
  2. Step 2: Convert to fraction form
    504,970.80/697,112.22 = 314,045.70/x
  3. Step 3: Cross multiply
    504,970.80x = 697,112.22 × 314,045.70
  4. Step 4: Simplify right side
    504,970.80x = 218,925,095,108.45
  5. Step 5: Solve for x
    x = 218,925,095,108.45/504,970.80
  6. Step 6: Final answer
    x = 433,540.11

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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.