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Finding the Fourth Proportional to 530,817, 732,516.53 and 289,103.82

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Solution

The fourth proportional to 530,817, 732,516.53 and 289,103.82 is: 398,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,817 : 732,516.53 = 289,103.82 : x
  2. Step 2: Convert to fraction form
    530,817/732,516.53 = 289,103.82/x
  3. Step 3: Cross multiply
    530,817x = 732,516.53 × 289,103.82
  4. Step 4: Simplify right side
    530,817x = 211,773,325,590.63
  5. Step 5: Solve for x
    x = 211,773,325,590.63/530,817
  6. Step 6: Final answer
    x = 398,957.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.