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Finding the Fourth Proportional to 473,369.40, 710,457.30 and 193,087.80

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Solution

The fourth proportional to 473,369.40, 710,457.30 and 193,087.80 is: 289,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,369.40 : 710,457.30 = 193,087.80 : x
  2. Step 2: Convert to fraction form
    473,369.40/710,457.30 = 193,087.80/x
  3. Step 3: Cross multiply
    473,369.40x = 710,457.30 × 193,087.80
  4. Step 4: Simplify right side
    473,369.40x = 137,180,637,050.94
  5. Step 5: Solve for x
    x = 137,180,637,050.94/473,369.40
  6. Step 6: Final answer
    x = 289,796.17

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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.