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Finding the Fourth Proportional to 731,684.16, 1,009,843.61 and 502,051.91

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Solution

The fourth proportional to 731,684.16, 1,009,843.61 and 502,051.91 is: 692,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,684.16 : 1,009,843.61 = 502,051.91 : x
  2. Step 2: Convert to fraction form
    731,684.16/1,009,843.61 = 502,051.91/x
  3. Step 3: Cross multiply
    731,684.16x = 1,009,843.61 × 502,051.91
  4. Step 4: Simplify right side
    731,684.16x = 506,993,905,642.32
  5. Step 5: Solve for x
    x = 506,993,905,642.32/731,684.16
  6. Step 6: Final answer
    x = 692,913.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.