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Finding the Fourth Proportional to 473,852.90, 653,907.35 and 258,994.50

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Solution

The fourth proportional to 473,852.90, 653,907.35 and 258,994.50 is: 357,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,852.90 : 653,907.35 = 258,994.50 : x
  2. Step 2: Convert to fraction form
    473,852.90/653,907.35 = 258,994.50/x
  3. Step 3: Cross multiply
    473,852.90x = 653,907.35 × 258,994.50
  4. Step 4: Simplify right side
    473,852.90x = 169,358,407,159.58
  5. Step 5: Solve for x
    x = 169,358,407,159.58/473,852.90
  6. Step 6: Final answer
    x = 357,407.14

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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.