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Finding the Fourth Proportional to 464,330.64, 696,498.53 and 211,434.86

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Solution

The fourth proportional to 464,330.64, 696,498.53 and 211,434.86 is: 317,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,330.64 : 696,498.53 = 211,434.86 : x
  2. Step 2: Convert to fraction form
    464,330.64/696,498.53 = 211,434.86/x
  3. Step 3: Cross multiply
    464,330.64x = 696,498.53 × 211,434.86
  4. Step 4: Simplify right side
    464,330.64x = 147,264,064,641.09
  5. Step 5: Solve for x
    x = 147,264,064,641.09/464,330.64
  6. Step 6: Final answer
    x = 317,153.45

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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.