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Finding the Fourth Proportional to 564,569.51, 778,915.89 and 360,739.59

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Solution

The fourth proportional to 564,569.51, 778,915.89 and 360,739.59 is: 497,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,569.51 : 778,915.89 = 360,739.59 : x
  2. Step 2: Convert to fraction form
    564,569.51/778,915.89 = 360,739.59/x
  3. Step 3: Cross multiply
    564,569.51x = 778,915.89 × 360,739.59
  4. Step 4: Simplify right side
    564,569.51x = 280,985,798,803.09
  5. Step 5: Solve for x
    x = 280,985,798,803.09/564,569.51
  6. Step 6: Final answer
    x = 497,699.21

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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.