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Finding the Fourth Proportional to 473,898, 710,959.32 and 141,482.64

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Solution

The fourth proportional to 473,898, 710,959.32 and 141,482.64 is: 212,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,898 : 710,959.32 = 141,482.64 : x
  2. Step 2: Convert to fraction form
    473,898/710,959.32 = 141,482.64/x
  3. Step 3: Cross multiply
    473,898x = 710,959.32 × 141,482.64
  4. Step 4: Simplify right side
    473,898x = 100,588,401,526.21
  5. Step 5: Solve for x
    x = 100,588,401,526.21/473,898
  6. Step 6: Final answer
    x = 212,257.49

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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.