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Finding the Fourth Proportional to 586,417.30, 808,838.81 and 538,175.14

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Solution

The fourth proportional to 586,417.30, 808,838.81 and 538,175.14 is: 742,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,417.30 : 808,838.81 = 538,175.14 : x
  2. Step 2: Convert to fraction form
    586,417.30/808,838.81 = 538,175.14/x
  3. Step 3: Cross multiply
    586,417.30x = 808,838.81 × 538,175.14
  4. Step 4: Simplify right side
    586,417.30x = 435,296,939,809.18
  5. Step 5: Solve for x
    x = 435,296,939,809.18/586,417.30
  6. Step 6: Final answer
    x = 742,298.94

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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.