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Finding the Fourth Proportional to 602,430.32, 903,057.96 and 286,802.48

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Solution

The fourth proportional to 602,430.32, 903,057.96 and 286,802.48 is: 429,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,430.32 : 903,057.96 = 286,802.48 : x
  2. Step 2: Convert to fraction form
    602,430.32/903,057.96 = 286,802.48/x
  3. Step 3: Cross multiply
    602,430.32x = 903,057.96 × 286,802.48
  4. Step 4: Simplify right side
    602,430.32x = 258,999,262,511.74
  5. Step 5: Solve for x
    x = 258,999,262,511.74/602,430.32
  6. Step 6: Final answer
    x = 429,924.02

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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.