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Finding the Fourth Proportional to 856,743.04, 1,182,312 and 474,776

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Solution

The fourth proportional to 856,743.04, 1,182,312 and 474,776 is: 655,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,743.04 : 1,182,312 = 474,776 : x
  2. Step 2: Convert to fraction form
    856,743.04/1,182,312 = 474,776/x
  3. Step 3: Cross multiply
    856,743.04x = 1,182,312 × 474,776
  4. Step 4: Simplify right side
    856,743.04x = 561,333,362,112
  5. Step 5: Solve for x
    x = 561,333,362,112/856,743.04
  6. Step 6: Final answer
    x = 655,194.54

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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.