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Finding the Fourth Proportional to 905,611.86, 1,249,774.32 and 497,728.16

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Solution

The fourth proportional to 905,611.86, 1,249,774.32 and 497,728.16 is: 686,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,611.86 : 1,249,774.32 = 497,728.16 : x
  2. Step 2: Convert to fraction form
    905,611.86/1,249,774.32 = 497,728.16/x
  3. Step 3: Cross multiply
    905,611.86x = 1,249,774.32 × 497,728.16
  4. Step 4: Simplify right side
    905,611.86x = 622,047,873,013.11
  5. Step 5: Solve for x
    x = 622,047,873,013.11/905,611.86
  6. Step 6: Final answer
    x = 686,881.32

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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.