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Finding the Fourth Proportional to 419,613.96, 578,609.01 and 283,411.47

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Solution

The fourth proportional to 419,613.96, 578,609.01 and 283,411.47 is: 390,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,613.96 : 578,609.01 = 283,411.47 : x
  2. Step 2: Convert to fraction form
    419,613.96/578,609.01 = 283,411.47/x
  3. Step 3: Cross multiply
    419,613.96x = 578,609.01 × 283,411.47
  4. Step 4: Simplify right side
    419,613.96x = 163,984,430,079.35
  5. Step 5: Solve for x
    x = 163,984,430,079.35/419,613.96
  6. Step 6: Final answer
    x = 390,798.32

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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.