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Finding the Fourth Proportional to 556,212.84, 767,526.48 and 314,461.86

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Solution

The fourth proportional to 556,212.84, 767,526.48 and 314,461.86 is: 433,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,212.84 : 767,526.48 = 314,461.86 : x
  2. Step 2: Convert to fraction form
    556,212.84/767,526.48 = 314,461.86/x
  3. Step 3: Cross multiply
    556,212.84x = 767,526.48 × 314,461.86
  4. Step 4: Simplify right side
    556,212.84x = 241,357,804,500.05
  5. Step 5: Solve for x
    x = 241,357,804,500.05/556,212.84
  6. Step 6: Final answer
    x = 433,930.66

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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.