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Finding the Fourth Proportional to 1,034,454, 1,551,681 and 286,500

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Solution

The fourth proportional to 1,034,454, 1,551,681 and 286,500 is: 429,750

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,454 : 1,551,681 = 286,500 : x
  2. Step 2: Convert to fraction form
    1,034,454/1,551,681 = 286,500/x
  3. Step 3: Cross multiply
    1,034,454x = 1,551,681 × 286,500
  4. Step 4: Simplify right side
    1,034,454x = 444,556,606,500
  5. Step 5: Solve for x
    x = 444,556,606,500/1,034,454
  6. Step 6: Final answer
    x = 429,750

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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.