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Finding the Fourth Proportional to 697,770.71, 962,893.74 and 407,398.39

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Solution

The fourth proportional to 697,770.71, 962,893.74 and 407,398.39 is: 562,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,770.71 : 962,893.74 = 407,398.39 : x
  2. Step 2: Convert to fraction form
    697,770.71/962,893.74 = 407,398.39/x
  3. Step 3: Cross multiply
    697,770.71x = 962,893.74 × 407,398.39
  4. Step 4: Simplify right side
    697,770.71x = 392,281,358,537.59
  5. Step 5: Solve for x
    x = 392,281,358,537.59/697,770.71
  6. Step 6: Final answer
    x = 562,192.36

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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.