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Finding the Fourth Proportional to 737,038.98, 1,017,101.88 and 414,748.89

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Solution

The fourth proportional to 737,038.98, 1,017,101.88 and 414,748.89 is: 572,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,038.98 : 1,017,101.88 = 414,748.89 : x
  2. Step 2: Convert to fraction form
    737,038.98/1,017,101.88 = 414,748.89/x
  3. Step 3: Cross multiply
    737,038.98x = 1,017,101.88 × 414,748.89
  4. Step 4: Simplify right side
    737,038.98x = 421,841,875,746.91
  5. Step 5: Solve for x
    x = 421,841,875,746.91/737,038.98
  6. Step 6: Final answer
    x = 572,346.76

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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.