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Finding the Fourth Proportional to 5,314,809.60, 7,972,214.40 and 1,768,953.60

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Solution

The fourth proportional to 5,314,809.60, 7,972,214.40 and 1,768,953.60 is: 2,653,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,809.60 : 7,972,214.40 = 1,768,953.60 : x
  2. Step 2: Convert to fraction form
    5,314,809.60/7,972,214.40 = 1,768,953.60/x
  3. Step 3: Cross multiply
    5,314,809.60x = 7,972,214.40 × 1,768,953.60
  4. Step 4: Simplify right side
    5,314,809.60x = 14,102,477,362,851.84
  5. Step 5: Solve for x
    x = 14,102,477,362,851.84/5,314,809.60
  6. Step 6: Final answer
    x = 2,653,430.40

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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.