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Finding the Fourth Proportional to 706,966.84, 975,242.46 and 420,283

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Solution

The fourth proportional to 706,966.84, 975,242.46 and 420,283 is: 579,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,966.84 : 975,242.46 = 420,283 : x
  2. Step 2: Convert to fraction form
    706,966.84/975,242.46 = 420,283/x
  3. Step 3: Cross multiply
    706,966.84x = 975,242.46 × 420,283
  4. Step 4: Simplify right side
    706,966.84x = 409,877,826,816.18
  5. Step 5: Solve for x
    x = 409,877,826,816.18/706,966.84
  6. Step 6: Final answer
    x = 579,769.52

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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.