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Finding the Fourth Proportional to 443,702.16, 612,308.16 and 242,498.16

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Solution

The fourth proportional to 443,702.16, 612,308.16 and 242,498.16 is: 334,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,702.16 : 612,308.16 = 242,498.16 : x
  2. Step 2: Convert to fraction form
    443,702.16/612,308.16 = 242,498.16/x
  3. Step 3: Cross multiply
    443,702.16x = 612,308.16 × 242,498.16
  4. Step 4: Simplify right side
    443,702.16x = 148,483,602,152.99
  5. Step 5: Solve for x
    x = 148,483,602,152.99/443,702.16
  6. Step 6: Final answer
    x = 334,647.01

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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.