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Finding the Fourth Proportional to 585,588, 808,111.44 and 317,316

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Solution

The fourth proportional to 585,588, 808,111.44 and 317,316 is: 437,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,588 : 808,111.44 = 317,316 : x
  2. Step 2: Convert to fraction form
    585,588/808,111.44 = 317,316/x
  3. Step 3: Cross multiply
    585,588x = 808,111.44 × 317,316
  4. Step 4: Simplify right side
    585,588x = 256,426,689,695.04
  5. Step 5: Solve for x
    x = 256,426,689,695.04/585,588
  6. Step 6: Final answer
    x = 437,896.08

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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.