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Finding the Fourth Proportional to 473,498.60, 710,247.90 and 192,871.40

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Solution

The fourth proportional to 473,498.60, 710,247.90 and 192,871.40 is: 289,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,498.60 : 710,247.90 = 192,871.40 : x
  2. Step 2: Convert to fraction form
    473,498.60/710,247.90 = 192,871.40/x
  3. Step 3: Cross multiply
    473,498.60x = 710,247.90 × 192,871.40
  4. Step 4: Simplify right side
    473,498.60x = 136,986,506,820.06
  5. Step 5: Solve for x
    x = 136,986,506,820.06/473,498.60
  6. Step 6: Final answer
    x = 289,307.10

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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.