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Finding the Fourth Proportional to 586,418.58, 808,840.38 and 538,176.36

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Solution

The fourth proportional to 586,418.58, 808,840.38 and 538,176.36 is: 742,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,418.58 : 808,840.38 = 538,176.36 : x
  2. Step 2: Convert to fraction form
    586,418.58/808,840.38 = 538,176.36/x
  3. Step 3: Cross multiply
    586,418.58x = 808,840.38 × 538,176.36
  4. Step 4: Simplify right side
    586,418.58x = 435,298,771,529.42
  5. Step 5: Solve for x
    x = 435,298,771,529.42/586,418.58
  6. Step 6: Final answer
    x = 742,300.44

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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.