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Finding the Fourth Proportional to 473,325.40, 710,391.30 and 193,043.80

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Solution

The fourth proportional to 473,325.40, 710,391.30 and 193,043.80 is: 289,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,325.40 : 710,391.30 = 193,043.80 : x
  2. Step 2: Convert to fraction form
    473,325.40/710,391.30 = 193,043.80/x
  3. Step 3: Cross multiply
    473,325.40x = 710,391.30 × 193,043.80
  4. Step 4: Simplify right side
    473,325.40x = 137,136,636,038.94
  5. Step 5: Solve for x
    x = 137,136,636,038.94/473,325.40
  6. Step 6: Final answer
    x = 289,730.14

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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.