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Finding the Fourth Proportional to 472,211.76, 707,802.18 and 232,490.64

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Solution

The fourth proportional to 472,211.76, 707,802.18 and 232,490.64 is: 348,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,211.76 : 707,802.18 = 232,490.64 : x
  2. Step 2: Convert to fraction form
    472,211.76/707,802.18 = 232,490.64/x
  3. Step 3: Cross multiply
    472,211.76x = 707,802.18 × 232,490.64
  4. Step 4: Simplify right side
    472,211.76x = 164,557,381,821.60
  5. Step 5: Solve for x
    x = 164,557,381,821.60/472,211.76
  6. Step 6: Final answer
    x = 348,482.18

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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.