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Finding the Fourth Proportional to 473,497.60, 710,246.40 and 192,870.40

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Solution

The fourth proportional to 473,497.60, 710,246.40 and 192,870.40 is: 289,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,497.60 : 710,246.40 = 192,870.40 : x
  2. Step 2: Convert to fraction form
    473,497.60/710,246.40 = 192,870.40/x
  3. Step 3: Cross multiply
    473,497.60x = 710,246.40 × 192,870.40
  4. Step 4: Simplify right side
    473,497.60x = 136,985,507,266.56
  5. Step 5: Solve for x
    x = 136,985,507,266.56/473,497.60
  6. Step 6: Final answer
    x = 289,305.60

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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.