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Finding the Fourth Proportional to 550,368.64, 824,386.56 and 415,766.08

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Solution

The fourth proportional to 550,368.64, 824,386.56 and 415,766.08 is: 622,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,368.64 : 824,386.56 = 415,766.08 : x
  2. Step 2: Convert to fraction form
    550,368.64/824,386.56 = 415,766.08/x
  3. Step 3: Cross multiply
    550,368.64x = 824,386.56 × 415,766.08
  4. Step 4: Simplify right side
    550,368.64x = 342,751,968,455.89
  5. Step 5: Solve for x
    x = 342,751,968,455.89/550,368.64
  6. Step 6: Final answer
    x = 622,767.98

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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.