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Finding the Fourth Proportional to 460,421.64, 635,411.04 and 259,230.60

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Solution

The fourth proportional to 460,421.64, 635,411.04 and 259,230.60 is: 357,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,421.64 : 635,411.04 = 259,230.60 : x
  2. Step 2: Convert to fraction form
    460,421.64/635,411.04 = 259,230.60/x
  3. Step 3: Cross multiply
    460,421.64x = 635,411.04 × 259,230.60
  4. Step 4: Simplify right side
    460,421.64x = 164,717,985,145.82
  5. Step 5: Solve for x
    x = 164,717,985,145.82/460,421.64
  6. Step 6: Final answer
    x = 357,754.66

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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.