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Finding the Fourth Proportional to 460,870.77, 635,457.65 and 315,746.13

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Solution

The fourth proportional to 460,870.77, 635,457.65 and 315,746.13 is: 435,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,870.77 : 635,457.65 = 315,746.13 : x
  2. Step 2: Convert to fraction form
    460,870.77/635,457.65 = 315,746.13/x
  3. Step 3: Cross multiply
    460,870.77x = 635,457.65 × 315,746.13
  4. Step 4: Simplify right side
    460,870.77x = 200,643,292,187.66
  5. Step 5: Solve for x
    x = 200,643,292,187.66/460,870.77
  6. Step 6: Final answer
    x = 435,356.95

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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.