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Finding the Fourth Proportional to 553,097.25, 829,665.32 and 316,331.01

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Solution

The fourth proportional to 553,097.25, 829,665.32 and 316,331.01 is: 474,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,097.25 : 829,665.32 = 316,331.01 : x
  2. Step 2: Convert to fraction form
    553,097.25/829,665.32 = 316,331.01/x
  3. Step 3: Cross multiply
    553,097.25x = 829,665.32 × 316,331.01
  4. Step 4: Simplify right side
    553,097.25x = 262,448,867,055.92
  5. Step 5: Solve for x
    x = 262,448,867,055.92/553,097.25
  6. Step 6: Final answer
    x = 474,507.63

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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.