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Finding the Fourth Proportional to 1,073,076, 1,609,862.76 and 314,886.48

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Solution

The fourth proportional to 1,073,076, 1,609,862.76 and 314,886.48 is: 472,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,076 : 1,609,862.76 = 314,886.48 : x
  2. Step 2: Convert to fraction form
    1,073,076/1,609,862.76 = 314,886.48/x
  3. Step 3: Cross multiply
    1,073,076x = 1,609,862.76 × 314,886.48
  4. Step 4: Simplify right side
    1,073,076x = 506,924,017,779.49
  5. Step 5: Solve for x
    x = 506,924,017,779.49/1,073,076
  6. Step 6: Final answer
    x = 472,402.72

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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.