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Finding the Fourth Proportional to 589,613.94, 813,689.01 and 335,008.26

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Solution

The fourth proportional to 589,613.94, 813,689.01 and 335,008.26 is: 462,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,613.94 : 813,689.01 = 335,008.26 : x
  2. Step 2: Convert to fraction form
    589,613.94/813,689.01 = 335,008.26/x
  3. Step 3: Cross multiply
    589,613.94x = 813,689.01 × 335,008.26
  4. Step 4: Simplify right side
    589,613.94x = 272,592,539,421.22
  5. Step 5: Solve for x
    x = 272,592,539,421.22/589,613.94
  6. Step 6: Final answer
    x = 462,323.77

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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.