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Finding the Fourth Proportional to 473,946.14, 710,290.44 and 207,416.45

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Solution

The fourth proportional to 473,946.14, 710,290.44 and 207,416.45 is: 310,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,946.14 : 710,290.44 = 207,416.45 : x
  2. Step 2: Convert to fraction form
    473,946.14/710,290.44 = 207,416.45/x
  3. Step 3: Cross multiply
    473,946.14x = 710,290.44 × 207,416.45
  4. Step 4: Simplify right side
    473,946.14x = 147,325,923,309.46
  5. Step 5: Solve for x
    x = 147,325,923,309.46/473,946.14
  6. Step 6: Final answer
    x = 310,849.50

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1.5x scale

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.