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Finding the Fourth Proportional to 471,653.40, 707,480.10 and 235,457.40

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Solution

The fourth proportional to 471,653.40, 707,480.10 and 235,457.40 is: 353,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,653.40 : 707,480.10 = 235,457.40 : x
  2. Step 2: Convert to fraction form
    471,653.40/707,480.10 = 235,457.40/x
  3. Step 3: Cross multiply
    471,653.40x = 707,480.10 × 235,457.40
  4. Step 4: Simplify right side
    471,653.40x = 166,581,424,897.74
  5. Step 5: Solve for x
    x = 166,581,424,897.74/471,653.40
  6. Step 6: Final answer
    x = 353,186.10

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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.