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Finding the Fourth Proportional to 504,970.29, 697,111.52 and 314,045.19

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Solution

The fourth proportional to 504,970.29, 697,111.52 and 314,045.19 is: 433,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,970.29 : 697,111.52 = 314,045.19 : x
  2. Step 2: Convert to fraction form
    504,970.29/697,111.52 = 314,045.19/x
  3. Step 3: Cross multiply
    504,970.29x = 697,111.52 × 314,045.19
  4. Step 4: Simplify right side
    504,970.29x = 218,924,519,749.59
  5. Step 5: Solve for x
    x = 218,924,519,749.59/504,970.29
  6. Step 6: Final answer
    x = 433,539.41

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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.