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Finding the Fourth Proportional to 631,802.88, 947,135.34 and 232,358.22

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Solution

The fourth proportional to 631,802.88, 947,135.34 and 232,358.22 is: 348,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,802.88 : 947,135.34 = 232,358.22 : x
  2. Step 2: Convert to fraction form
    631,802.88/947,135.34 = 232,358.22/x
  3. Step 3: Cross multiply
    631,802.88x = 947,135.34 × 232,358.22
  4. Step 4: Simplify right side
    631,802.88x = 220,074,681,701.50
  5. Step 5: Solve for x
    x = 220,074,681,701.50/631,802.88
  6. Step 6: Final answer
    x = 348,328.08

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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.