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Finding the Fourth Proportional to 426,030.84, 638,389.34 and 209,641.16

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Solution

The fourth proportional to 426,030.84, 638,389.34 and 209,641.16 is: 314,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,030.84 : 638,389.34 = 209,641.16 : x
  2. Step 2: Convert to fraction form
    426,030.84/638,389.34 = 209,641.16/x
  3. Step 3: Cross multiply
    426,030.84x = 638,389.34 × 209,641.16
  4. Step 4: Simplify right side
    426,030.84x = 133,832,681,769.23
  5. Step 5: Solve for x
    x = 133,832,681,769.23/426,030.84
  6. Step 6: Final answer
    x = 314,138.48

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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.