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Finding the Fourth Proportional to 1,475,147.60, 2,208,784.80 and 1,475,147.60

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Solution

The fourth proportional to 1,475,147.60, 2,208,784.80 and 1,475,147.60 is: 2,208,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,147.60 : 2,208,784.80 = 1,475,147.60 : x
  2. Step 2: Convert to fraction form
    1,475,147.60/2,208,784.80 = 1,475,147.60/x
  3. Step 3: Cross multiply
    1,475,147.60x = 2,208,784.80 × 1,475,147.60
  4. Step 4: Simplify right side
    1,475,147.60x = 3,258,283,596,636.48
  5. Step 5: Solve for x
    x = 3,258,283,596,636.48/1,475,147.60
  6. Step 6: Final answer
    x = 2,208,784.80

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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.