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Finding the Fourth Proportional to 1,106,415.90, 1,656,999.45 and 1,106,415.90

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Solution

The fourth proportional to 1,106,415.90, 1,656,999.45 and 1,106,415.90 is: 1,656,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,415.90 : 1,656,999.45 = 1,106,415.90 : x
  2. Step 2: Convert to fraction form
    1,106,415.90/1,656,999.45 = 1,106,415.90/x
  3. Step 3: Cross multiply
    1,106,415.90x = 1,656,999.45 × 1,106,415.90
  4. Step 4: Simplify right side
    1,106,415.90x = 1,833,330,537,771.26
  5. Step 5: Solve for x
    x = 1,833,330,537,771.26/1,106,415.90
  6. Step 6: Final answer
    x = 1,656,999.45

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