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Finding the Fourth Proportional to 507,525.16, 761,407.10 and 147,703.77

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Solution

The fourth proportional to 507,525.16, 761,407.10 and 147,703.77 is: 221,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,525.16 : 761,407.10 = 147,703.77 : x
  2. Step 2: Convert to fraction form
    507,525.16/761,407.10 = 147,703.77/x
  3. Step 3: Cross multiply
    507,525.16x = 761,407.10 × 147,703.77
  4. Step 4: Simplify right side
    507,525.16x = 112,462,701,248.61
  5. Step 5: Solve for x
    x = 112,462,701,248.61/507,525.16
  6. Step 6: Final answer
    x = 221,590.40

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1.5x scale

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.