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Finding the Fourth Proportional to 556,953.84, 834,307.14 and 257,017.76

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Solution

The fourth proportional to 556,953.84, 834,307.14 and 257,017.76 is: 385,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,953.84 : 834,307.14 = 257,017.76 : x
  2. Step 2: Convert to fraction form
    556,953.84/834,307.14 = 257,017.76/x
  3. Step 3: Cross multiply
    556,953.84x = 834,307.14 × 257,017.76
  4. Step 4: Simplify right side
    556,953.84x = 214,431,752,274.81
  5. Step 5: Solve for x
    x = 214,431,752,274.81/556,953.84
  6. Step 6: Final answer
    x = 385,008.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.