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Finding the Fourth Proportional to 473,006.94, 709,088.49 and 173,417.55

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Solution

The fourth proportional to 473,006.94, 709,088.49 and 173,417.55 is: 259,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,006.94 : 709,088.49 = 173,417.55 : x
  2. Step 2: Convert to fraction form
    473,006.94/709,088.49 = 173,417.55/x
  3. Step 3: Cross multiply
    473,006.94x = 709,088.49 × 173,417.55
  4. Step 4: Simplify right side
    473,006.94x = 122,968,388,669.00
  5. Step 5: Solve for x
    x = 122,968,388,669.00/473,006.94
  6. Step 6: Final answer
    x = 259,971.64

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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.