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Finding the Fourth Proportional to 712,803.84, 983,701.68 and 406,962.96

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Solution

The fourth proportional to 712,803.84, 983,701.68 and 406,962.96 is: 561,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,803.84 : 983,701.68 = 406,962.96 : x
  2. Step 2: Convert to fraction form
    712,803.84/983,701.68 = 406,962.96/x
  3. Step 3: Cross multiply
    712,803.84x = 983,701.68 × 406,962.96
  4. Step 4: Simplify right side
    712,803.84x = 400,330,147,449.77
  5. Step 5: Solve for x
    x = 400,330,147,449.77/712,803.84
  6. Step 6: Final answer
    x = 561,627.37

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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.