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Finding the Fourth Proportional to 504,970.11, 697,111.27 and 314,045.01

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Solution

The fourth proportional to 504,970.11, 697,111.27 and 314,045.01 is: 433,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,970.11 : 697,111.27 = 314,045.01 : x
  2. Step 2: Convert to fraction form
    504,970.11/697,111.27 = 314,045.01/x
  3. Step 3: Cross multiply
    504,970.11x = 697,111.27 × 314,045.01
  4. Step 4: Simplify right side
    504,970.11x = 218,924,314,973.15
  5. Step 5: Solve for x
    x = 218,924,314,973.15/504,970.11
  6. Step 6: Final answer
    x = 433,539.16

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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.