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Finding the Fourth Proportional to 697,802.42, 962,852.18 and 411,377.92

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Solution

The fourth proportional to 697,802.42, 962,852.18 and 411,377.92 is: 567,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,802.42 : 962,852.18 = 411,377.92 : x
  2. Step 2: Convert to fraction form
    697,802.42/962,852.18 = 411,377.92/x
  3. Step 3: Cross multiply
    697,802.42x = 962,852.18 × 411,377.92
  4. Step 4: Simplify right side
    697,802.42x = 396,096,127,075.87
  5. Step 5: Solve for x
    x = 396,096,127,075.87/697,802.42
  6. Step 6: Final answer
    x = 567,633.64

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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.