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Finding the Fourth Proportional to 556,394.16, 767,862.04 and 314,676.80

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Solution

The fourth proportional to 556,394.16, 767,862.04 and 314,676.80 is: 434,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,394.16 : 767,862.04 = 314,676.80 : x
  2. Step 2: Convert to fraction form
    556,394.16/767,862.04 = 314,676.80/x
  3. Step 3: Cross multiply
    556,394.16x = 767,862.04 × 314,676.80
  4. Step 4: Simplify right side
    556,394.16x = 241,628,369,588.67
  5. Step 5: Solve for x
    x = 241,628,369,588.67/556,394.16
  6. Step 6: Final answer
    x = 434,275.53

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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.