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Finding the Fourth Proportional to 417,813.49, 627,163.04 and 260,152.93

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Solution

The fourth proportional to 417,813.49, 627,163.04 and 260,152.93 is: 390,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,813.49 : 627,163.04 = 260,152.93 : x
  2. Step 2: Convert to fraction form
    417,813.49/627,163.04 = 260,152.93/x
  3. Step 3: Cross multiply
    417,813.49x = 627,163.04 × 260,152.93
  4. Step 4: Simplify right side
    417,813.49x = 163,158,302,443.71
  5. Step 5: Solve for x
    x = 163,158,302,443.71/417,813.49
  6. Step 6: Final answer
    x = 390,505.11

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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.