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Finding the Fourth Proportional to 293,712, 405,357.12 and 174,480

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Solution

The fourth proportional to 293,712, 405,357.12 and 174,480 is: 240,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,712 : 405,357.12 = 174,480 : x
  2. Step 2: Convert to fraction form
    293,712/405,357.12 = 174,480/x
  3. Step 3: Cross multiply
    293,712x = 405,357.12 × 174,480
  4. Step 4: Simplify right side
    293,712x = 70,726,710,297.60
  5. Step 5: Solve for x
    x = 70,726,710,297.60/293,712
  6. Step 6: Final answer
    x = 240,802.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.