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Finding the Fourth Proportional to 4,812,978.34, 7,221,075.36 and 1,574,664.22

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Solution

The fourth proportional to 4,812,978.34, 7,221,075.36 and 1,574,664.22 is: 2,362,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812,978.34 : 7,221,075.36 = 1,574,664.22 : x
  2. Step 2: Convert to fraction form
    4,812,978.34/7,221,075.36 = 1,574,664.22/x
  3. Step 3: Cross multiply
    4,812,978.34x = 7,221,075.36 × 1,574,664.22
  4. Step 4: Simplify right side
    4,812,978.34x = 11,370,768,999,315.62
  5. Step 5: Solve for x
    x = 11,370,768,999,315.62/4,812,978.34
  6. Step 6: Final answer
    x = 2,362,522.37

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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.