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Finding the Fourth Proportional to 459,011, 633,494.58 and 257,807

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Solution

The fourth proportional to 459,011, 633,494.58 and 257,807 is: 355,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,011 : 633,494.58 = 257,807 : x
  2. Step 2: Convert to fraction form
    459,011/633,494.58 = 257,807/x
  3. Step 3: Cross multiply
    459,011x = 633,494.58 × 257,807
  4. Step 4: Simplify right side
    459,011x = 163,319,337,186.06
  5. Step 5: Solve for x
    x = 163,319,337,186.06/459,011
  6. Step 6: Final answer
    x = 355,807.02

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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.