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Finding the Fourth Proportional to 828,298, 1,241,699.58 and 575,697.45

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Solution

The fourth proportional to 828,298, 1,241,699.58 and 575,697.45 is: 863,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,298 : 1,241,699.58 = 575,697.45 : x
  2. Step 2: Convert to fraction form
    828,298/1,241,699.58 = 575,697.45/x
  3. Step 3: Cross multiply
    828,298x = 1,241,699.58 × 575,697.45
  4. Step 4: Simplify right side
    828,298x = 714,843,281,872.07
  5. Step 5: Solve for x
    x = 714,843,281,872.07/828,298
  6. Step 6: Final answer
    x = 863,026.69

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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.