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Finding the Fourth Proportional to 562,971.84, 776,902.32 and 304,851.60

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Solution

The fourth proportional to 562,971.84, 776,902.32 and 304,851.60 is: 420,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,971.84 : 776,902.32 = 304,851.60 : x
  2. Step 2: Convert to fraction form
    562,971.84/776,902.32 = 304,851.60/x
  3. Step 3: Cross multiply
    562,971.84x = 776,902.32 × 304,851.60
  4. Step 4: Simplify right side
    562,971.84x = 236,839,915,295.71
  5. Step 5: Solve for x
    x = 236,839,915,295.71/562,971.84
  6. Step 6: Final answer
    x = 420,695.85

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1.5x scale

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.