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Finding the Fourth Proportional to 460,070.76, 634,751.10 and 258,827.88

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Solution

The fourth proportional to 460,070.76, 634,751.10 and 258,827.88 is: 357,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,070.76 : 634,751.10 = 258,827.88 : x
  2. Step 2: Convert to fraction form
    460,070.76/634,751.10 = 258,827.88/x
  3. Step 3: Cross multiply
    460,070.76x = 634,751.10 × 258,827.88
  4. Step 4: Simplify right side
    460,070.76x = 164,291,281,540.67
  5. Step 5: Solve for x
    x = 164,291,281,540.67/460,070.76
  6. Step 6: Final answer
    x = 357,100.03

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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.