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Finding the Fourth Proportional to 1,312,505.32, 1,968,964.50 and 459,837.76

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Solution

The fourth proportional to 1,312,505.32, 1,968,964.50 and 459,837.76 is: 689,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,505.32 : 1,968,964.50 = 459,837.76 : x
  2. Step 2: Convert to fraction form
    1,312,505.32/1,968,964.50 = 459,837.76/x
  3. Step 3: Cross multiply
    1,312,505.32x = 1,968,964.50 × 459,837.76
  4. Step 4: Simplify right side
    1,312,505.32x = 905,404,225,199.52
  5. Step 5: Solve for x
    x = 905,404,225,199.52/1,312,505.32
  6. Step 6: Final answer
    x = 689,828.99

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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.