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Finding the Fourth Proportional to 586,005.80, 876,675.90 and 507,986.60

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Solution

The fourth proportional to 586,005.80, 876,675.90 and 507,986.60 is: 759,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,005.80 : 876,675.90 = 507,986.60 : x
  2. Step 2: Convert to fraction form
    586,005.80/876,675.90 = 507,986.60/x
  3. Step 3: Cross multiply
    586,005.80x = 876,675.90 × 507,986.60
  4. Step 4: Simplify right side
    586,005.80x = 445,339,609,742.94
  5. Step 5: Solve for x
    x = 445,339,609,742.94/586,005.80
  6. Step 6: Final answer
    x = 759,957.68

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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.