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Finding the Fourth Proportional to 504,430.16, 696,103.34 and 278,075.66

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Solution

The fourth proportional to 504,430.16, 696,103.34 and 278,075.66 is: 383,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,430.16 : 696,103.34 = 278,075.66 : x
  2. Step 2: Convert to fraction form
    504,430.16/696,103.34 = 278,075.66/x
  3. Step 3: Cross multiply
    504,430.16x = 696,103.34 × 278,075.66
  4. Step 4: Simplify right side
    504,430.16x = 193,569,390,827.81
  5. Step 5: Solve for x
    x = 193,569,390,827.81/504,430.16
  6. Step 6: Final answer
    x = 383,738.74

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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.