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Finding the Fourth Proportional to 506,307.50, 698,449.60 and 334,043.89

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Solution

The fourth proportional to 506,307.50, 698,449.60 and 334,043.89 is: 460,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,307.50 : 698,449.60 = 334,043.89 : x
  2. Step 2: Convert to fraction form
    506,307.50/698,449.60 = 334,043.89/x
  3. Step 3: Cross multiply
    506,307.50x = 698,449.60 × 334,043.89
  4. Step 4: Simplify right side
    506,307.50x = 233,312,821,352.94
  5. Step 5: Solve for x
    x = 233,312,821,352.94/506,307.50
  6. Step 6: Final answer
    x = 460,812.49

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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.