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Finding the Fourth Proportional to 504,970.04, 697,111.18 and 314,044.94

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Solution

The fourth proportional to 504,970.04, 697,111.18 and 314,044.94 is: 433,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,970.04 : 697,111.18 = 314,044.94 : x
  2. Step 2: Convert to fraction form
    504,970.04/697,111.18 = 314,044.94/x
  3. Step 3: Cross multiply
    504,970.04x = 697,111.18 × 314,044.94
  4. Step 4: Simplify right side
    504,970.04x = 218,924,238,696.43
  5. Step 5: Solve for x
    x = 218,924,238,696.43/504,970.04
  6. Step 6: Final answer
    x = 433,539.06

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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.