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Finding the Fourth Proportional to 504,968.60, 697,109.19 and 314,043.50

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Solution

The fourth proportional to 504,968.60, 697,109.19 and 314,043.50 is: 433,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,968.60 : 697,109.19 = 314,043.50 : x
  2. Step 2: Convert to fraction form
    504,968.60/697,109.19 = 314,043.50/x
  3. Step 3: Cross multiply
    504,968.60x = 697,109.19 × 314,043.50
  4. Step 4: Simplify right side
    504,968.60x = 218,922,609,909.77
  5. Step 5: Solve for x
    x = 218,922,609,909.77/504,968.60
  6. Step 6: Final answer
    x = 433,537.08

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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.