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Finding the Fourth Proportional to 460,068.48, 634,888 and 258,864

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Solution

The fourth proportional to 460,068.48, 634,888 and 258,864 is: 357,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,068.48 : 634,888 = 258,864 : x
  2. Step 2: Convert to fraction form
    460,068.48/634,888 = 258,864/x
  3. Step 3: Cross multiply
    460,068.48x = 634,888 × 258,864
  4. Step 4: Simplify right side
    460,068.48x = 164,349,647,232
  5. Step 5: Solve for x
    x = 164,349,647,232/460,068.48
  6. Step 6: Final answer
    x = 357,228.66

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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.