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Finding the Fourth Proportional to 586,597.80, 880,965.90 and 513,114.60

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Solution

The fourth proportional to 586,597.80, 880,965.90 and 513,114.60 is: 770,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,597.80 : 880,965.90 = 513,114.60 : x
  2. Step 2: Convert to fraction form
    586,597.80/880,965.90 = 513,114.60/x
  3. Step 3: Cross multiply
    586,597.80x = 880,965.90 × 513,114.60
  4. Step 4: Simplify right side
    586,597.80x = 452,036,465,392.14
  5. Step 5: Solve for x
    x = 452,036,465,392.14/586,597.80
  6. Step 6: Final answer
    x = 770,607.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.