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Finding the Fourth Proportional to 473,004.80, 710,326.40 and 333,740.80

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Solution

The fourth proportional to 473,004.80, 710,326.40 and 333,740.80 is: 501,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,004.80 : 710,326.40 = 333,740.80 : x
  2. Step 2: Convert to fraction form
    473,004.80/710,326.40 = 333,740.80/x
  3. Step 3: Cross multiply
    473,004.80x = 710,326.40 × 333,740.80
  4. Step 4: Simplify right side
    473,004.80x = 237,064,900,997.12
  5. Step 5: Solve for x
    x = 237,064,900,997.12/473,004.80
  6. Step 6: Final answer
    x = 501,189.21

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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.