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Finding the Fourth Proportional to 513,252.33, 708,315.14 and 309,368.04

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Solution

The fourth proportional to 513,252.33, 708,315.14 and 309,368.04 is: 426,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,252.33 : 708,315.14 = 309,368.04 : x
  2. Step 2: Convert to fraction form
    513,252.33/708,315.14 = 309,368.04/x
  3. Step 3: Cross multiply
    513,252.33x = 708,315.14 × 309,368.04
  4. Step 4: Simplify right side
    513,252.33x = 219,130,066,564.13
  5. Step 5: Solve for x
    x = 219,130,066,564.13/513,252.33
  6. Step 6: Final answer
    x = 426,944.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.