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Finding the Fourth Proportional to 473,900, 710,962.32 and 141,484.64

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Solution

The fourth proportional to 473,900, 710,962.32 and 141,484.64 is: 212,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,900 : 710,962.32 = 141,484.64 : x
  2. Step 2: Convert to fraction form
    473,900/710,962.32 = 141,484.64/x
  3. Step 3: Cross multiply
    473,900x = 710,962.32 × 141,484.64
  4. Step 4: Simplify right side
    473,900x = 100,590,247,898.77
  5. Step 5: Solve for x
    x = 100,590,247,898.77/473,900
  6. Step 6: Final answer
    x = 212,260.49

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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.