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Finding the Fourth Proportional to 532,152.51, 797,804.93 and 307,257.84

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Solution

The fourth proportional to 532,152.51, 797,804.93 and 307,257.84 is: 460,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,152.51 : 797,804.93 = 307,257.84 : x
  2. Step 2: Convert to fraction form
    532,152.51/797,804.93 = 307,257.84/x
  3. Step 3: Cross multiply
    532,152.51x = 797,804.93 × 307,257.84
  4. Step 4: Simplify right side
    532,152.51x = 245,131,817,996.86
  5. Step 5: Solve for x
    x = 245,131,817,996.86/532,152.51
  6. Step 6: Final answer
    x = 460,642.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.