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Finding the Fourth Proportional to 5,314,307.64, 7,972,726.84 and 1,720,075.20

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Solution

The fourth proportional to 5,314,307.64, 7,972,726.84 and 1,720,075.20 is: 2,580,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,307.64 : 7,972,726.84 = 1,720,075.20 : x
  2. Step 2: Convert to fraction form
    5,314,307.64/7,972,726.84 = 1,720,075.20/x
  3. Step 3: Cross multiply
    5,314,307.64x = 7,972,726.84 × 1,720,075.20
  4. Step 4: Simplify right side
    5,314,307.64x = 13,713,689,713,858.37
  5. Step 5: Solve for x
    x = 13,713,689,713,858.37/5,314,307.64
  6. Step 6: Final answer
    x = 2,580,522.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.