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Finding the Fourth Proportional to 416,547.38, 624,400.29 and 164,005.07

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Solution

The fourth proportional to 416,547.38, 624,400.29 and 164,005.07 is: 245,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,547.38 : 624,400.29 = 164,005.07 : x
  2. Step 2: Convert to fraction form
    416,547.38/624,400.29 = 164,005.07/x
  3. Step 3: Cross multiply
    416,547.38x = 624,400.29 × 164,005.07
  4. Step 4: Simplify right side
    416,547.38x = 102,404,813,269.47
  5. Step 5: Solve for x
    x = 102,404,813,269.47/416,547.38
  6. Step 6: Final answer
    x = 245,841.93

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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.