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Finding the Fourth Proportional to 1,307,535.93, 1,964,256.48 and 775,406.02

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Solution

The fourth proportional to 1,307,535.93, 1,964,256.48 and 775,406.02 is: 1,164,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,535.93 : 1,964,256.48 = 775,406.02 : x
  2. Step 2: Convert to fraction form
    1,307,535.93/1,964,256.48 = 775,406.02/x
  3. Step 3: Cross multiply
    1,307,535.93x = 1,964,256.48 × 775,406.02
  4. Step 4: Simplify right side
    1,307,535.93x = 1,523,096,299,416.01
  5. Step 5: Solve for x
    x = 1,523,096,299,416.01/1,307,535.93
  6. Step 6: Final answer
    x = 1,164,860.00

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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.